{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/CoreTheGreat/HBPU-Machine-Learning-Course/blob/main/ML_Chapter4_Clustering.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "lPboLx_o0UxI"
   },
   "source": [
    "# 第四章：聚类\n",
    "湖北理工学院《机器学习》课程资料\n",
    "\n",
    "作者：李辉楚吴\n",
    "\n",
    "笔记内容概述: 电影评分分析中的聚类问题及应用\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "WYv0kOOZWEaT"
   },
   "source": [
    "Moves Data File Structure (movies.csv)\n",
    "\n",
    "Genres: (no genres listed), 动作（Action）, 冒险（Adventure）, 动画（Animation）, 儿童（Children）, 喜剧（Comedy）, 犯罪（Crime）, 纪录片（Documentary）, 剧情（Drama）, 奇幻（Fantasy）, 黑色电影（Film-Noir）, 恐怖（Horror）, IMAX, 音乐（Musical）, 推理（Mystery）, 爱情（Romance）, 科幻（Sci-Fi）, 惊悚（Thriller）, 战争（War）, 西部（Western）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "1JbjUpmKUhuv",
    "outputId": "0fb8b51a-97ed-4855-cb89-71528b2d08ed"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Movie number: 9742\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>movieId</th>\n",
       "      <th>title</th>\n",
       "      <th>genres</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "      <td>Adventure|Animation|Children|Comedy|Fantasy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Jumanji (1995)</td>\n",
       "      <td>Adventure|Children|Fantasy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Grumpier Old Men (1995)</td>\n",
       "      <td>Comedy|Romance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Waiting to Exhale (1995)</td>\n",
       "      <td>Comedy|Drama|Romance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Father of the Bride Part II (1995)</td>\n",
       "      <td>Comedy</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   movieId                               title  \\\n",
       "0        1                    Toy Story (1995)   \n",
       "1        2                      Jumanji (1995)   \n",
       "2        3             Grumpier Old Men (1995)   \n",
       "3        4            Waiting to Exhale (1995)   \n",
       "4        5  Father of the Bride Part II (1995)   \n",
       "\n",
       "                                        genres  \n",
       "0  Adventure|Animation|Children|Comedy|Fantasy  \n",
       "1                   Adventure|Children|Fantasy  \n",
       "2                               Comedy|Romance  \n",
       "3                         Comedy|Drama|Romance  \n",
       "4                                       Comedy  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "movies = pd.read_csv('./Data/movies.csv')\n",
    "print(f'Movie number: {len(movies)}')\n",
    "movies.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Movie genres: ['(no genres listed)' 'Action' 'Adventure' 'Animation' 'Children' 'Comedy'\n",
      " 'Crime' 'Documentary' 'Drama' 'Fantasy' 'Film-Noir' 'Horror' 'IMAX'\n",
      " 'Musical' 'Mystery' 'Romance' 'Sci-Fi' 'Thriller' 'War' 'Western']\n"
     ]
    }
   ],
   "source": [
    "# Statistic genres\n",
    "genres_list = []\n",
    "for genres in movies['genres']:\n",
    "    genres_list.extend(genres.split('|'))\n",
    "genres_list = np.sort(np.unique(genres_list))\n",
    "print(f'Movie genres: {genres_list}')\n",
    "\n",
    "label_size = 18 # Label size\n",
    "ticklabel_size = 14 # Tick label size"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "XLSroDN4Y7CY"
   },
   "source": [
    "Rating Data File Structure (ratings.csv)\n",
    "\n",
    "Each line of this file after the header row represents one rating of one movie by one user, and has the following format:\n",
    "\n",
    "userId, movieId, rating, timestamp\n",
    "\n",
    "Ratings are made on a 5-star scale, with half-star increments (0.5 stars - 5.0 stars).\n",
    "\n",
    "Timestamps represent seconds since midnight Coordinated Universal Time (UTC) of January 1, 1970."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 224
    },
    "id": "05vhvNwyUujv",
    "outputId": "3c3085a2-7acc-4f0c-df1c-7b343ff71aae"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "610 have provided 100836 rate records\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userId</th>\n",
       "      <th>movieId</th>\n",
       "      <th>rating</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4.0</td>\n",
       "      <td>964982703</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>4.0</td>\n",
       "      <td>964981247</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>4.0</td>\n",
       "      <td>964982224</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>47</td>\n",
       "      <td>5.0</td>\n",
       "      <td>964983815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>50</td>\n",
       "      <td>5.0</td>\n",
       "      <td>964982931</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   userId  movieId  rating  timestamp\n",
       "0       1        1     4.0  964982703\n",
       "1       1        3     4.0  964981247\n",
       "2       1        6     4.0  964982224\n",
       "3       1       47     5.0  964983815\n",
       "4       1       50     5.0  964982931"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings = pd.read_csv('./Data/ratings.csv')\n",
    "user_list = np.sort(np.unique(ratings['userId']))\n",
    "print(f'{len(user_list)} have provided {len(ratings)} rate records')\n",
    "ratings.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "fdYsKkr4gD1d"
   },
   "source": [
    "### 用DBSCAN进行聚类，分析主要用户群体\n",
    "\n",
    "统计用户对各种电影类型的喜爱程度，即计算用户对各类电影的平均分"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "kK7lw-OTEqM3",
    "outputId": "508f6d21-f647-4ab0-a497-12cd075d7330"
   },
   "outputs": [],
   "source": [
    "# Create an array to save rates of all genres\n",
    "user_genres_rate = np.zeros((len(user_list), len(genres_list)))\n",
    "\n",
    "# Create an array to save movie rating counts of all genres\n",
    "# To compute average rates\n",
    "user_genres_rate_counts = np.zeros((len(user_list), len(genres_list)))\n",
    "\n",
    "for i in range(len(ratings)):\n",
    "    # User ID start from 1\n",
    "    # Convert user ID to user_idx by minus 1\n",
    "    user_idx = int(ratings.iloc[i]['userId'] - 1)\n",
    "    \n",
    "    # Get rate\n",
    "    rate = ratings.iloc[i]['rating']\n",
    "\n",
    "    # Get target movie\n",
    "    movie_id = ratings.iloc[i]['movieId']\n",
    "\n",
    "    # Split movie genres string\n",
    "    genres_type = movies[movies['movieId'] == movie_id]['genres'].values[0]\n",
    "    genres_type = genres_type.split('|')\n",
    "\n",
    "    # Statistic rates of movie genres\n",
    "    for genres in genres_type:\n",
    "        # Using '[0][0]' to get index from a list tuple\n",
    "        # First [0] get the index list outputed by np.where()\n",
    "        # Second [0] get the first item of list (with single item)\n",
    "        genres_idx = np.where(genres_list == genres)[0][0]\n",
    "\n",
    "        # Sum rate\n",
    "        user_genres_rate[user_idx, genres_idx] += rate\n",
    "        \n",
    "        # Count movie number of the genres\n",
    "        user_genres_rate_counts[user_idx, genres_idx] += 1\n",
    "\n",
    "# Compute genres rates of all users\n",
    "user_genres_rate = np.divide(user_genres_rate, user_genres_rate_counts, out=np.zeros_like(user_genres_rate), where=user_genres_rate_counts!=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "用散点图展示动作电影（Action）和动画电影（Animation）的用户喜爱情况\n",
    "\n",
    "可选电影类型: \n",
    "\n",
    "'(no genres listed)' 'Action' 'Adventure' 'Animation' 'Children' 'Comedy'\n",
    "\n",
    "'Crime' 'Documentary' 'Drama' 'Fantasy' 'Film-Noir' 'Horror' 'IMAX'\n",
    "\n",
    "'Musical' 'Mystery' 'Romance' 'Sci-Fi' 'Thriller' 'War' 'Western'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "KaY4gClVJB6v",
    "outputId": "8527cef2-c3bb-4ca0-e584-9e328a88d557"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of users who watched both Action and Animation: 526\n",
      "Shape of x: (526, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "genres_1 = 'Action' # Define first genres\n",
    "genres_2 = 'Animation' # Define second genres\n",
    "\n",
    "idx_g1 = np.where(genres_list == genres_1)[0][0] # Get genres 1 index in the genres_list\n",
    "idx_g2 = np.where(genres_list == genres_2)[0][0] # Get genres 2 index in the genres_list\n",
    "\n",
    "# Get list of user who have watched movies including both genres_1 and genres_2\n",
    "# Idea: People who have watched related movies are more credible in determining whether they like them or not.\n",
    "idx_both = np.where(np.logical_and(user_genres_rate[:,idx_g1] > 0, user_genres_rate[:,idx_g2] > 0))[0]\n",
    "print(f'Number of users who watched both {genres_1} and {genres_2}: {len(idx_both)}')\n",
    "\n",
    "# Filter rating information of users who have watched both genres_1 and genres_2\n",
    "x = user_genres_rate[idx_both][:, [idx_g1, idx_g2]]\n",
    "print(f'Shape of x: {x.shape}')\n",
    "\n",
    "# Drawing rates distribution by scatter figure\n",
    "fig, ax = plt.subplots(figsize=(6,6))\n",
    "\n",
    "ax.scatter(x[:,0], x[:,1], marker=\"o\", c='white', s=10**2, edgecolor=\"k\")\n",
    "\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size) # Set tick label size\n",
    "ax.set_xlabel(f'Average rate of {genres_1}', fontsize=label_size)\n",
    "ax.set_ylabel(f'Average rate of {genres_2}', fontsize=label_size)\n",
    "ax.set_xlim([-0.1, 5.1])\n",
    "ax.set_ylim([-0.1, 5.1])\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size) # Set tick label size\n",
    "# plt.savefig(f'rate_of_interested_movies.png', dpi=300) # Make figure clearer\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用曼哈顿距离计算各点之间的距离矩阵\n",
    "\n",
    "* 可用循环的方式实现，但是运行速度比较慢"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The shape of x_exp is (526, 1, 2)\n",
      "The shape of x_diff (526, 526, 2)\n",
      "The shape of distance_map (526, 526)\n"
     ]
    }
   ],
   "source": [
    "# Convert x to 3-D by adding a new axis\n",
    "x_exp = x[:, np.newaxis]\n",
    "print('The shape of x_exp is', x_exp.shape)\n",
    "\n",
    "# Compute diff vector matrix by numpy's broadcast machanism\n",
    "x_diff = x[:, np.newaxis] - x\n",
    "print('The shape of x_diff', x_diff.shape)\n",
    "\n",
    "# Sum difference to compute Manhattan distance\n",
    "distance_map = np.abs(x_diff).sum(axis=2)\n",
    "print('The shape of distance_map', distance_map.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制min-pts为3时的k-Distance图，判断合适的eps所处区间"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 551
    },
    "id": "TGSPq0ZlwU_V",
    "outputId": "851d99ed-fc4e-4768-e9ad-78e6c0b624a3"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Using k-Distance to find potential values of e\n",
    "min_pts = 3\n",
    "\n",
    "# k-Distance\n",
    "k_distance = np.sort(np.sort(distance_map, axis=1)[:, min_pts])[::-1]\n",
    "\n",
    "# Draw k-Distance figure\n",
    "fig, ax = plt.subplots(figsize=(10,6))\n",
    "ax.plot(np.arange(1, len(k_distance)+1), k_distance, marker='o', linestyle='-', color='tab:blue')\n",
    "ax.set_xlabel('Sample Index', fontsize=label_size)\n",
    "ax.set_ylabel('k-Distance', fontsize=label_size)\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size) # Set tick label size\n",
    "# plt.savefig(f'rate_dbscan_kdistance.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "QNqkoRaCy80z"
   },
   "source": [
    "令eps为0.25进行密度聚类，获取主要受众群体"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 902
    },
    "id": "AOOxlGcUjNkd",
    "outputId": "24bd1254-b437-48cc-9cae-120ae3f3628b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Biggest cluster label: 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "\n",
    "eps = 0.25\n",
    "\n",
    "# Define DBSCAN clustering model\n",
    "mdl_dbscan = DBSCAN(eps=eps, min_samples=min_pts)\n",
    "\n",
    "# Train k-Means model\n",
    "mdl_dbscan.fit(x)\n",
    "\n",
    "labels_dbscan = mdl_dbscan.labels_\n",
    "\n",
    "# Get the biggest cluster from labels_dbscan\n",
    "# Filter out noise points (labels = -1) before using np.bincount()\n",
    "biggest_cluster_label = np.argmax(np.bincount(labels_dbscan[labels_dbscan != -1]))\n",
    "print(f'Biggest cluster label: {biggest_cluster_label}')\n",
    "\n",
    "# Plot scatter of average rates\n",
    "fig, ax = plt.subplots(figsize=(10,10))\n",
    "\n",
    "# Draw noise points\n",
    "point_idx = (labels_dbscan == biggest_cluster_label)\n",
    "ax.scatter(x[point_idx,0], x[point_idx,1], marker=\"o\", c=\"k\", s=10**2, edgecolor=\"k\", zorder=0)\n",
    "\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size) # Set tick label size\n",
    "ax.set_xlabel(f'Average rate of {genres_1}', fontsize=label_size)\n",
    "ax.set_ylabel(f'Average rate of {genres_2}', fontsize=label_size)\n",
    "ax.set_xlim([-0.1, 5.1])\n",
    "ax.set_ylim([-0.1, 5.1])\n",
    "ax.set_title(f'DBSCAN clustering {biggest_cluster_label}, eps = {eps}', fontsize=label_size)\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size) # Set tick label size\n",
    "# plt.savefig(f'rate_dbscan_cluster_{biggest_cluster_label}.png', dpi=300) # Make figure clearer\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用协同过滤对主要群体做个性化推荐"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "50e__pyHmuKT"
   },
   "source": [
    "根据聚类结果以最大类（主要群体）构建新数据集user_movie_rate_table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of users: 486\n",
      "Number of watched movies: 8867\n",
      "Number of filtered movies: 2106\n",
      "Number of selected movies: 450\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userId</th>\n",
       "      <th>movieId</th>\n",
       "      <th>rating</th>\n",
       "      <th>timestamp</th>\n",
       "      <th>title</th>\n",
       "      <th>genres</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>3</td>\n",
       "      <td>647</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1306463619</td>\n",
       "      <td>Courage Under Fire (1996)</td>\n",
       "      <td>Action|Crime|Drama|War</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3</td>\n",
       "      <td>688</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1306464228</td>\n",
       "      <td>Operation Dumbo Drop (1995)</td>\n",
       "      <td>Action|Adventure|Comedy|War</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>720</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1306463595</td>\n",
       "      <td>Wallace &amp; Gromit: The Best of Aardman Animatio...</td>\n",
       "      <td>Adventure|Animation|Comedy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>849</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1306463611</td>\n",
       "      <td>Escape from L.A. (1996)</td>\n",
       "      <td>Action|Adventure|Sci-Fi|Thriller</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3</td>\n",
       "      <td>1275</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1306463323</td>\n",
       "      <td>Highlander (1986)</td>\n",
       "      <td>Action|Adventure|Fantasy</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   userId  movieId  rating   timestamp  \\\n",
       "0       3      647     0.5  1306463619   \n",
       "1       3      688     0.5  1306464228   \n",
       "2       3      720     0.5  1306463595   \n",
       "3       3      849     5.0  1306463611   \n",
       "4       3     1275     3.5  1306463323   \n",
       "\n",
       "                                               title  \\\n",
       "0                          Courage Under Fire (1996)   \n",
       "1                        Operation Dumbo Drop (1995)   \n",
       "2  Wallace & Gromit: The Best of Aardman Animatio...   \n",
       "3                            Escape from L.A. (1996)   \n",
       "4                                  Highlander (1986)   \n",
       "\n",
       "                             genres  \n",
       "0            Action|Crime|Drama|War  \n",
       "1       Action|Adventure|Comedy|War  \n",
       "2        Adventure|Animation|Comedy  \n",
       "3  Action|Adventure|Sci-Fi|Thriller  \n",
       "4          Action|Adventure|Fantasy  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get rate of users in cluster biggest_cluster_label\n",
    "user_ratings = ratings[ratings['userId'].isin(idx_both[labels_dbscan == biggest_cluster_label])]\n",
    "print('Number of users:', len(user_ratings['userId'].unique()))\n",
    "\n",
    "# Get list of movies which have been watched by users in user_ratings\n",
    "watched_movies = user_ratings['movieId'].unique()\n",
    "print('Number of watched movies:', len(watched_movies))\n",
    "\n",
    "# Filter out movies which are not genres_1 nor genres_2 from watched_movies\n",
    "filtered_movies = movies[movies['movieId'].isin(watched_movies) & \n",
    "                         (movies['genres'].str.contains(genres_1) | \n",
    "                          movies['genres'].str.contains(genres_2))]\n",
    "print('Number of filtered movies:', len(filtered_movies))\n",
    "\n",
    "# Only select 450 movies just to reduce computation time\n",
    "filtered_movies = filtered_movies.head(450)\n",
    "print('Number of selected movies:', len(filtered_movies))\n",
    "\n",
    "# Union rates and filtered_movies tables by 'movieId'\n",
    "user_movie_rate_table = pd.merge(user_ratings, filtered_movies, on='movieId')\n",
    "user_movie_rate_table.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由user_movie_rate_table生成用户相似度表user_movie_rate_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "User number is 476\n",
      "Movie number is 450\n",
      "Shape of user_movie_rate_array: (476, 450)\n"
     ]
    }
   ],
   "source": [
    "# Get userID list\n",
    "user_list = user_movie_rate_table['userId'].unique()\n",
    "print(f'User number is {len(user_list)}')\n",
    "\n",
    "# Get movieID list\n",
    "movie_list = user_movie_rate_table['movieId'].unique()\n",
    "print(f'Movie number is {len(movie_list)}')\n",
    "\n",
    "# Generate user_movie_rate_array\n",
    "# Create a 2D array to store user-movie ratings\n",
    "user_movie_rate_array = np.zeros((len(user_list), len(movie_list)))\n",
    "\n",
    "# Fill the array with ratings\n",
    "for index, row in user_movie_rate_table.iterrows():\n",
    "    user_index = np.where(user_list == row['userId'])[0][0]\n",
    "    movie_index = np.where(movie_list == row['movieId'])[0][0]\n",
    "    \n",
    "    user_movie_rate_array[user_index, movie_index] = row['rating']\n",
    "\n",
    "print(f\"Shape of user_movie_rate_array: {user_movie_rate_array.shape}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用热力图展示user_movie_rate_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JWEz+AriVH/qfFO8wfULZQ/3OS0PxHkrkE+2lJArluAFWB0qE0lO3wvPa6eWwUtuIYRiGKTDshBPSrkJJlIULSpzWSdnqKj74wygBcflQm4ZeHspJwUnTch4WMUNgmGyBYY5Nkiy1PcMwDFOMrS4oj370Q0blffDfHjYqL4jULOBhFQbxeDkE1YKdTUXfif7YXr7QlMGQrNeystnblsfA21bs3sF1rnTfrX0tGP62ywlZ5HYvWuuce8HmFc7/C3Y24Y5PPAkAmP9Ulat+srXXz3dbJ7uluDlITisuK9UqOQP1y9A7uA7zVzU5beSXTlyVupzK2b1orcvnXVVfMba3rrKvqpOXotfa14KboE7CJL64hVV2L9i8wulv1Xmie5QqRbzY9qLLzsD0GcDbdZTl9tR1O/G65QRTQXUX21nsF/l3VR/IL53yMapzqW5D90GxXK8+o74Q2yXKCldQXWnOAIbmDfH3MC8PJGv0448FHq+7/8OUb7u4akUrTV5y5TZr7WtB4+A6rfoGERQ6UNUftiO3F7U1reaI8wQhPxsYhonGsBOy7YKSWQu4qIyIpDFx00NqoH4ZgII7yPC5C53PAFwPMfFBQ4gKQNCkrGOdVj3sZEVKfCgTYWOai9CDXSzbq66yMiy3SZhMp1F+Z6Kh6jdTbUx91ji4zjUmVWV4ZbplmDCkPU/w2GWygK0W8Mcv+YhRedN/9nOj8oKwRgFXWWVE5U2VlEJU2mQrtvybqKyLVvKB+mVKC49chixffAEg+bISLZ8LwGXBFI+N4vLhp6yrJnZdy1tYlx6v1O69bXlns6lKnmh1DlPmkF92uGuhNvGyTvudq/peJwayn9Xd63hxPMorBLLCQL+Xug9CHBtiHcX7zsuiLL7IyeNYN060yKzF9bjhvG2eKzy616my5lK7ySseYV58gfAuaCJRIiB5KWo6Kxc72rd5rvIRZO2/YPOKIouuzioCRX0K0yZpurnFHTlH10gi96l4P1M0rSA5DBM3rIDHgzUKeJosWV4YXGHjALN/K2MajrbCMAzD2IStCvh/zGs0Ku9P+waCDzJItreQGuK0S87BaZeco/ytta9F6TICFBRvm5VvskyXG3Fcl2hVT5MFO5vQ35xzrlG0ugIFizJZlZOip67bVQ/xc1Bd/O6foHKyQtL94UUaY4NJhizeFwwTN8NOOMHoX+L1Zwu4P7pL6Gy5ZEwgpp6POw09wzAMwwRhqwV896WzjMq74P7tRuUFYY0FPIzlRsei5md5o9+oTL9jlx5d6ShBFEpQhah8q65FtO7pWgTl+kbBz6oYRS6566iQrchhLdU2WUD9+roUVJb23ra8872ocD9338FAeUuWz1T2iaodqRy/PlRB46S1rwVLls+MpZ905dF4FesQtHohjvOgMS9akcdNm6gcB5TsitrTr3y/eU11rl87BI1Jr/r6lb2xq9r3OJOrTbSyQ+2ni6q//PpRXEEKW44oN0x7miLo3qJr6+isdf6nc+iz+Mcw5cywE4YZ/Uu8/mwBZ8qNJCILcPQChmHiptQoLTxPMSaw1QL+1MLZwQeFYNqW4sh6cWKNBRzIlp9bkOWISY8kHjg2PNTC+K2PmzYxklWMNhp7yWSSg9u7vNB53q2Zd2dJc40N8xTDMGrYAm4IcTIdPnchjm3d4oQcbHw7iQ/gH4Ob5ET1JRdDa6nCbHmFmpOPUYXn8wurJYdVEz/LMcHLwU++XK7DVuSxG3fIOIYJgu95ppKx1QL+9F9eZFTeuT950Ki8IFLLhGkCv4Q2SbOjfZsrfnNv20I0vP3bsa1bHIW7tb0FqBtaNmnta3Fi6AKlxXsVlZRjW7egtW9bSUuXwFB70stETzuKYkTL8dnFejgx0Hf6X1tQzHA6BvDPbmoaVahJfhDHg5jFFRhq76CkPAwTN3zPM4x9pBG5xCSpWcAPd3w+8qSmskZ4JSjRKcMvMQZtGNq+abCoPFER8EtlrkpX7KdklpO1L46022GtUV4ZFqNatXTOC/OyIK8YRFEwg85jxTVeoiTX0ZGZ9Fwwa3F90VyXNnFkX/WTYdO9knSuibAZiZnKwFYL+J7FFxuVN3XTA0blBVGRLihppx/OAlEyGNrIkuUzUffNwk2qupY4FCcbyHIIw3J7CWUYhskytirgez95iVF5U374M6Pygsik/V4nZKEYTkw8fv3I1UUbW/xCickhC1W/6dZJt7428Nx9B7XC4NnOXbc+5ISSlNu3p67b5UJjA6Y2Iusq33FvfI4yrm3qjywRFBKRYRimnMh6GMJM+oA/d99BYN6Q8kCbHoEhlxNHeZxX+L+nnRSNScBOt7yCzykg+p3SMuRF3dcAAOZsqEFvWx6H1qwF4FZwWvtaMGrv/Zj18zMBDLmriMqN7IIif0/yTFn/gtwk/FxmADjXvWaDfpkbu6px1bWHir4DUPR9KYRtI2dZ9bJxruVlG/06q6ZMdsbnxq5qnP74fZizoUbrXHH5uKF9tuO377fSQ+WFcdnSgfpobM2kwhc7/Y9nSsfvnqiUVT9x3uOVFIZhbMYaBby/OYfn773f13JHD5Gpe+8Hrj00pCzsBAC34kCb/3rQjeFt6zwn4p66biy4ceiz43rx9oPqwabbAQC9g+twaM1ap349dd3Y0TdU1o4pl2K79HATlRkK/xakTJl6YMiKlKxwX7B5BeQ2E8nv3ff2f3rKH6BWsk89/AwAYGPX2caU8BEH9njWq7ctjxEH9rjamZSO3tY8lh6tcpTNqimT8eb4qQDCt7sYzk9XQRbrKJZHst4cPxXPr7kf/c2F7x+c0oJT397YS8d5lVXkJ9s+9NnPp1Wn7qJyrqq7Sgb1EW0+Vingolxdlxm/NpDlirKB4lUBWyJb6Lz86Fy3l79wa19L0Qu113xkS5tERax71LnUpPuWTr+psKUf1o9cjVFfKzwDx3TfUnhhR/g5j2HiIA2rtUkqzgdcNSH6PQD9fKGj+klHnZSTpFIsZrYhP/yT2hBm2gLOMAzDlAe2+oA/c+WlRuWd/b37jcoLIpM+4Dop1L2OCav4ki+0yldWTFMfhiHrsr2UmgDCFsQxII8HSuFsUwIoeTzp9kHQ/RDEgp1NqSrfpdafYZjSsGkeZJhKoOIs4ABb+yqVUqzJS5bPxF23llfyKIZhzFAuUaMYRoWtFvBnr/qYUXkTN/7UqLwgrPEBT5JSFG9W3rOHCXeaSlG+bfE9ZZgswYo3wyRP1n3AM+mC0lPXjf7mHMZNm4hx0yZ6HhNlSU0+jz7TBidxqZ5CrHnVwQtxA59tmF6G7OisddouLRraZzubcpcst/NNvlT6m3OYtbjeuSeiXmcY5TvsuNeRFyTTdJkMwzAMkwaZdEHRcSUQrZ6luB7wZsTywaYMdwzDMAyTBWx1QXn+c5cZlXfWP91nVF4QmbSAh6GnrrsojbHqGLL8ips3e+q6XdZT+feoBNUhq6jqb6K9TNLa1+K0tU31IsQ66YwHnXHT2tcS6yqEqg42jGXxPrahPlklrns4itwwx/sdy2MiGpzsibGJrCfiyaQFnML4UZKXUw8/U5SIxyvGsBzmrb8550QlUS2/izGj83v3KY/Z2FWNI9dfg+rWFQCG4s+KriZiGetHrsZZVxTC51BUlqhxpeXNP3IMZDHVepi062Js6qDjveT2tuWL+sUEYfyUxbjVYc7zO5Z+89sPQO0nj5mgEJTi7zQ2RZcnXV9TVRISv1j0unsb/Oov/kZ1Fcdn1PCbYc8T5wWvmOWqpFFeLFk+ExNOe90zcVUSYUWDEmdRPYDSYnuHvRav2OMyfnWIK2GOTptFgRP8MJWGrRbwF/56oVF5f/KdLUblBZFJBVxG56FBisD3FvzUyVRpEtUDRjf5TjkTRunPKuOmTcTBp541Iiuqm4xKOSd/aZ26mcpYKo95XQWNYcqduF4I0iDMCyyTfWxVwA+0LDIqb/ydm43KC6IsFPCozFpcH4syzjAMwzAMUw7YqoAfvObjRuWNu/3HRuUFkUkfcLJmi4lUKCIJoePjp6N8k1xV5JL+5hz6m3NW+hLaUqc4fAajRpGxpU38sDlCjgnongHYDzcuuH0ZhmHsJ9MW8FmL6wH4K9JBy34bu6rx0MHCUn1QrGevZTf2CWSSRjXmetvyyFU1Aii4fFAowkqJYV5uyPsBSnFl0x0LnHCKYRgZWy3gv/7CYqPyzvz2JqPygsikAm5bODlWwJOF29seOHEPwzBMeWOrAn7oS580Kq/6mz80Ki+ITGXCpLBSEy4bh/4rhpbq3xw/1Ym2MXzuQsxfVeW4ozx330EAQ3G85SXZqimTnf/nbKgpiipCZTa0z3YioQBD0UwA4NjWSeipA3YvWgsAuGDzCgyfuxAjDuxRXkd+7z7saN8GAGgcXIf5q6qcci7qvibQ0iW6dJAiStbP16bPcMkVETfEbeyqxq/f+IDrMwCc/vh9Th3pOsUyRZn0IiTXh8qpyQ/g0JpCm4ytmeSKynLzk7NdKxc6SjXVccTj9wHQswb2tuXxuzFnAwDGdN+CHe3bMOGycc7vo752O4ChSDpeyqS4+kF1pWtRRXpR9ZF4rmqDbkdnLU77ytCu7ufuO4iG9tkYPrfw3e/GnI1TDz/jkimO84u6r3H67aXcft/IPwRFWRGjoPS25Z2xO2dDjauuYntede0hVE2ZjPW5Qh2qW1c4bVE1ZTLeHD/VJUcX2dorWmVpzOmk/u6p63buMwDKsSoem8aLhO7LpI4F3GvDc09dN17K7Qfg3V7UnnSfmqqDKo8CRY0ilh5d6WoHcdWSvveK9rSjfZtLtlhHP0NN2P6OY9Nh1jcyihHEAOBw03UY030LgML9/8iUqwHwBmyG8SKTFnAmPZIIucYEw/1QPuiGgLSZMCEysw6vwDGVhrUW8C9fblRe9f/7F6PygsjkJkzCpk1GrX0tzoZDqhPVj74n65D4nYzOhkWdc1XtIqaF90rM0tFZ61sHP6WPzpOv1ZY+isKsxfXOXgObqCTlu9wTfyzY2ZRp5RvwX4koN1j5Zhg74EQ8EQlrARctLKWkog9rOZSXUE1Yq7LgN6uzxK+DDbHQRdelpUdXKpfFCVPXHRVxrK4fuRrP3XdQWU95DJW6L8KvTYLwa7O021MXW+7JsNZVU9Zzm6zwqo3zXuMz7f1Atowb28m6u02lY6sF/DfLPmVU3hnrfmBUXhDWKeA6iTtUk65fwhfxeDlTZBB0/O5Faz3rFKS8tPa1oHFwnVO/tB8acUHXJT7MS1HsvIi6BEz9oMqMGaZP4nzoRq1TqZhOmNTblsdA/TLnczmO97gx2f9x3Iel4uWPb4o0sm8yTDliqwL+27/9tFF5p3/j+0blBWGdAp42OpuIGDW2W4Oy8OKThToyDMMwlYOtCviLK64wKu8Da+81Ki+IslfAk1BovDYgVUIa9iyiEz++0uAXTYZhGEYFK+DxkNlNmGLWS8B7s99F3dcUfac6T3Wu/J1XlkIv/9b5q6oc5VvMACiWG3aDmSrrpxc6x5jExs2WpFgSvW15bN80qKV8e21UjZO02nDNvDt9feIZ+wiTNVWefxiGYbLOsBNOMPqXeP3L3QJukt62vCvmM1sNC+j47duA7S4ycSP2U1b6rBQqvb8Jed8L+z8zScP3Yrax1QL+nzd8xqi899/8z0blBZFZBTzsZsokEF1OVA89AK6EQXSsfG6p5RNesijKgKpMmijl33TqJyeokf8PqjsrBQUq3XVJjoLBY4OJi0q/1xhGB1bA48FaBVxcLpVD2Mlv0/IDWsz8dtYVl7rOpcx/QVAZpEhXTZlcVA8xS6aYeVCsFwCMOLDHNwxfOSexCBPezGTIQlGWVx/KISltSG5jylIUZu9D0PgLk6XVC9m1ZsHOJlcfrR+52rlX/cpQtU9S1jWvbIxJRMSJAmWOveraQ77zqRde40K8bpL7YNPtRRGQgHQV3CxaXW0KB8kwhK0K+MutVxmVd9qajUblBWGtAu5H2Ik1zPFhHrKiC0oY5c1LifAqJw3Kyb0mS9cSddOwPKayqHww8VBuY0G8HhtemplwcKSn7GGtAn5Ts1F5p3VsMCoviEwq4EmSJeWNYZjKJStJjxiGyRasgMfD8ERLyyA6indPXTd2tG9zku0ABV9v2SIJxGvhFi1DKr9ZsQ5+frWlWszYr5JhkocVb4ZhKolhw5JPH28StoAHkBULuCp9sw3Y5lojUy7RQHhZl8ka/KLOMNnAVgv4f31liVF57/vqXUblBZHZOOAAnHjYfrG0aZOQX6zv3rY8etvyro1K9P/3VjyI7614EEBxlJHWvpaiONNy2XHH3qXrSkqBpI1duhxuug6Hm66LqTalc9ONu5RtZ2NMcwDOWJU/l6J89zfn0NFZq4x77hcLXR4LJCNq/HSd+yWtfqH5Ie77WZQvtq/OdXvVL0yugSRjhYt5EhiGYSqNTFrAdax9ouW6FOugjgW8ty0fGOkkiDD+m0uWF95G77o1XBuK1t6NXdW46tpDRceYsFiPmzYRAHDwqWdjWUGI2p+q82xb4ciaJTvpDX686Y5hGCZZbLWA/3f7XxuV997270Q6b82aNfj7v/97LFu2DF1dXdrnWa2AeylHUR76trtC2IZtiinDRKHcIoAwTDkwa3E9Lq49BgB4bfoMfs5YjrUK+Fe9PRCi8N6vhB+Hu3btwuWXX45TTjkFH/3oR8tHAfeCrWBMFHjcMAzDMEw4WAFX89prr6Gmpgbf/va3sXr1akyfPj2UAm61D7iXT2NYJUr00w7jQ0puIQS5VoRF9hOPy49VlJukL6dfmV6+91EgWWH80MW2t135DuOrK+O3F0EHE/7N4v1CfU77NLJOKX2TFH7+90H9G8Z3X9yHELQPJk1srRfDMGYYdsIwo39HjhzBH//4R9ffkSNHPMv/4he/iI997GOYM2dOtPpn0QKuQxouJ+USUYNJjzAuE+xewTAMw8SNrRbwwx2fNypv3Zvvx6pVq1zftbW1ob29vejY7u5udHR0YNeuXTjppJMwa9as8rKAl8KCnU2hFBkvK634m9cxZFmSI2pEsQ6Zto5HtVDJ54WxZJu0eieFbOGkz3LUkbgJo1CnoXwn0a9ZsDbHRdbuG4ZhmHKhtbUVr7zyiuuvtbW16Lhf//rXWLZsGb773e/ipJNOilxeJi3gqkgRHFO2fPBKEkR9nKtqRE1+AEC4/jYVYaTSLc98rzEMw1QO1lrA13zBqLwxrd/WOm7z5s34y7/8S5x44onOd//7v/+LYcOG4YQTTsCRI0dcv3mRSQVcxi+rYxLI7i4qBUW06s1fVVV0TJioI34KUKmuNz113Rg+d6FWe8rtTp/jVtCSVIBnLa4HAGzfNJhIeQzDMAxjE7Yq4H+4+UtG5b37hm9qHffqq6/iwIEDru8++9nPYsqUKbjhhhtw3nnnacnJpAK+fuTqwHjZpnzA/eSEid2dNcitxvaNiwzDMAzDxAcr4MFUjA/42JpJgce8lNuPl3L7A48L8rkUfcnlY5ceXYmlR1eip647lagjcTJnQ40R5TuJ7IG6+EXjKEe/41J88bPox88wDMNUDqajoCRe/yxawE3jZ+WWXUPEY8XfdKzyYnlp+xB71SFrmRjDQNdcaUmZwozNcqTS+puxE9P3YZb2YpTzc6USsNUC/soty4zKe9d164zKCyKTCrjfzUy/yYqyqEDH8SDmCYbJMlEf5ja8TDKMirT3BtkIP6eYKLACHg+ZVMAJMXFEmrG3e9vyGKhfhob22QCA4XMXIlfV6KqTrOCksVFRLNPv4VTqJJ0lywzDMAzDMN7YqoD/8dZrjco7ZXmXUXlBZFIB39hVjauuPaT8jRRPypbodZwuusqkX52yCC/bp4M4jvqbc9p++GyJLn9MWXRnLa5PPKqPyfmRxzrDJIu1CnjXcqPyTrn2VqPygsjkJsxfv/EBAEMb/MTNdTQx//qNDzjHedHRWeu5+Y6+P7RmLQ6tWYuOztqizYS0Ua2js1b5cPFLw02pn3vb8topoAEEpmGXU0qHTSQTZuNd1jYuqto56UQ7QYjjaM6GmqIx55UyPAmFRB57YcatDjp9kdaG3iXL038AmVpR8lO+47oXTBonFuxssu6+ZUrDa15jmHImkxZwwiZXh962PG5+suCCsn3TIDo6ax0XFL8HRZJ1pwnOz11HrHdYVBa6OPqIfTvNY9O9xDAMw9iDrRbwV9etMCrv5GVrjcoLIjMWcFGJJSvt/FVVjsIgh02jz619LUXfizLpd5Xll85v7WtBR2etc5wom84/tnWLZ93F3+avqsKxrVswUL8MA/WlbSDws1ZTAhmRm27cFahc1+QHXNcYBrkNyDd+oH6ZK619Wsj91tuWx6zF9Zi1uD6SNU1cxfD6TacNRTni8XKbqcrR6Sed88TxqNsW4jX21HU77Uj3lViOzrXo1D/smBT7W7wn5Ps5CD/rnDiOSoVW1FTlyStbuhZDnXvPq5/E30ohjZCWYeYcVf3kflC1Q1zXJfdtpYQEDbsizFQ4J5xg9i9hUrWAl2LJlB/gaVvuWvta0DhY2EGbq2rEa9NnOL81tM/G8LkLAcD1wgAUuw6IGyC9NkOK51I7DNQvQ+PgOscKX7/0fGdTKACsPWMdbjhvGwDg5idn44bztjl1kX1CZWs+fUeI2TtV9YtiTbXVqq2zamAam7NvJtFPvW151yZmsUy5/DT8mZnyIUwGYh1snMdsrBOTLay1gP+/vzMq7+Qvf92ovCAy5YJCit2xrVs84zlTrFX6rWrKZDx/7/2u+KtyBku/rI8kR5WeXayPXA8/wmyuyzpxZNQM+0Chh2zj4DrrH0TiBrMwm804vJgeWXa1MWGwKPW601Dm5PvAL542K5vmqPT8AcwQtirgr33reqPyRn/xa0blBZEpBZwIuwued80zDMMwDMOEx1oF/Ns3GpU3+gudRuUFkRkfcBV+vonki9rfnHPcP4DiSA50jFd0BfE32e1F9AFXnU/1C4pcUs7EEa0gqjxVRBoboilQHWQfcCC9qB86+Pml2lzvLFKKD3DQHMcwDMMkTyYt4AS5FjS0z7bOwt3blvfcmCm+EERZLtVZTi51uTrKubTSICf8CaorwzAMky3Y3adysNYCfnurUXmjr1ljVF4QmVbAk4Y3fDEMwzAMU0nYqoD/zx03GZX3zqs7jMoLItMuKGKiG90lVnkpd2NXte+5opvLxbXHlL9RMiDZnUGsn/gbJfVRlVmqO4RuyDC/640KydzYVe243ei6eOiUS7JMuvSIddUlzmRFcr/IdfPq31LHjWkXBZIVJoSdV+KqtF2EbKCUvglzLrc1owO7MzFM6WTaAi4+2NN0QaEIFPTwEkOoEbIrRtyuGUHLg36/l7q0yG4nDMMwDFMeWGsBX282Ss87l6ozl8dFphXwcsGEL92S5TNx160PuUIsjps2EQefetZEFSPFww4TfYZDXjFpwpGSGIZh1NiqgL9+11eMynvHkq8alRdE2SvgvFGEYRiGYRgmGqyAx0OmfcBFvHxNs6J8h/GVtSF0XlRM1D2NtMylpEMvN8Q+DJPum2GySlbnW4Ypa4YNM/uXMMMTLzEmnNB+O5Mv20QWwjDL30PhDbO3ZK7zQuTlDiBmJU26n8V6V4Krgl+KbmqLnrpuLED62Td72/K4+cnZAIDtmwaVGXIZphSObd2CnrrC/zyukseW/V6MZZyQbRty2bug6BBHunSGYRiGYZisY60LyoZVRuW9o7nNqLwgMvn6QG/DJtwZetvyyO/dh/zefb7HqZbayW2E6hCmPll2Iyknwrj+JIFYF5vqVW6EvffSvlfLeSyk3bZMtqAM1DxumKy7oFitgM9aXI9Zi+uLvl97xjoAhaVwWg6nOMZeijL93t+cK1J+h89d6Liw0M1N59GxFGZQ/H3BziYs2NnkuISI9RFRTRRex8aJjtIf5UHvF0PahhcNUcmW60J9GERQ3Fu/dvO7fjnOt1gX+l9sQ6/2jFNBi9KHdHwSKdCjXHvYey+NvSRim+uO0VLvw6j3apQ+6OisRUdnrW/bUvQlP8Q5Way/37jzu06bXna8noHlQNRnw5p5d2LNvDtdmZaZymTYCScY/Uu8/uyCwoSBw7VlF9GvmxT/q649lGaVGIYjVcWAGI6WYUrFVheU/D+bjdtd9Zlk7xdrNmH21HVj+NyFzmaq+qXne25slDc9ipuwbjhvG+avqnJtxBInePF/UiZVMa7pN5Kze9HaohjYNMmNrZkEYGgjKCXiEa3xYn1b+1rQ0F6o7472bWhon43di9YCAB7YNbwo3b28qYwsIvJxIvJDTbaiiOfOWlzvfKa2lcugzws2DclQ9YNolTi2dYtzXXf88++LYpLLdQxK4CNeA9VL54VA7gdxMyeNG6Awdmg1Y+0Z63Bx7THU5AeK6kT1oMyo1Gdim+m2t/h/T103drRvc9p01uJ63HDeNtcGQ3lzJF2LeJ5XG9DvHZ21uOraobHc25ZHrqoRQOEe6OisdcZ6R2etqw06OmtxweYVAOAas/J1r/jNMqw9Yx1uOG+bU06uqtE5VmwTsQ2oPjc/Ods59+YnZxeNTxFxDIiyxOugz0RNfiBQ6ZP700+ufF1+92iUmPoyKqXVa8wtWT4Ti3Z8HkCxJZ2uS7XJraeuG2vPWOe6hta+FjQODq1Aiv3tdx96jXmSYwJVv9BnnTnTD7nOunWQzwv67EWYjf6zFtdj6aaCIiHPKVGI8rzRQSdhm077UP3EuZIQ5xDSDZgyYpjVThyBWGsBF5cPbd8cqaME+m307G/OWX+NjP3ILxp+kUxshKOXlEYS7cfWaoapPKy1gN+7xqi8qitajcoLwjoF3FQac/FhJFoPVJYEE4pKGAuFbEUqZ+JQAsO2tWgtpvHgVSfTSkwpCguNE7/zve6XsKExo/ZT0MtnGkp1lhV5VnAZhrENVsDjwToFvFRk15Ed7YUlKFEB91N+5Ye3/NlL4QnrG51lJcELVRvYdJ1+yk1cvu1hFSobFbC4+1BetjdFpe1XMGW8YBiGEbFVAX/j+zcblXfSp28wKi+I1B1odMPAqTIR0i5q0V2FHrgv5fbjpdx+TLhsnONvDQATLhtXFIFEjB4gR8WQP6uil/Q351A1ZbLW9RIUeSXJXdxLls/EkuWl3UhifeWIMyplp2rK5NBtE4Yw13Ns6xbHb5+gKANhFDU5uoJfpIawytCIA3uc/5csn6mdaZIiAIkRIUwh3gOljh8VsvItR4YRCXO/UJ112iTuSC1+mIoUlEZkJYaxEb85hCkjThhm9i9hys4CrrP07rdDPI3d4+tHrubd6jGSNV/oqIgvF8/ddzDS9a4fuRovf3VLLBZphjGBPF+K93eW5lLb62p7/ZjksNYC/oOvGZV30qeuNyoviEwr4F5RRkRklxSViwRZaFUbIcVIJ167yb0mKh1lPslJTmyDODZ+qq4livuClxuGKCuqW4TtbglBL5A2ufQEEXZsR81Ia3ufmsRvTknCBUVsa3EOYWWNYcoXaxXwf7nFqLyTLr/OqLwgMquAU9hCIu2lV7E+YshD8bOIuOQsh+ILuhbdB634sJTL81NaVHXQKVMl06RSkKaPq1coS8YcXi8X3N4MwzDpYa0C/sO1RuWd9MkVRuUFkVkF3CRRLW9MtmArXXiyYF0OWs3J2v2dtfrGTbm+gHH4WSYrsAIeD5lWwL2syGkgb6LSCR2nOi7LDxtV3bPkMsEwDMMwjBtrFfBN3zAq76TFf2tUXhCpR0GJiuj/bYPCOlC/zPn/2NYtRZFdxEgM4rF+ckqhp647cjSMsBEZKIoDZZEUI9tQBA2T0V50oubEiekoIwzDMAzDhGTYCWb/kq6+TRbwJctn4q5bC9+LCh3gtqBu7KrGVdcecsX6plCDtEGP/LEH6pfhou5rkN+7D0Ah/J/sc02h394cP9Xl55uranTScFMa7ZUnfwtAYXlYTgMu+yiLKc8J2T/82NYtRXWKCwrNdNW1h1zfm7K6q+T4LaeLaYbF/lZZyzd2VWNMd2HDRdWUyfjt9MsAFF8LobK8B/nki9/rxKYWr43GpHg+AFy49w7fZeagcmS5VOaDTbcHJhIS//crp78559wfctuL4byoHvTdqYefcbWZXFcgnN9+KfsMoqTBDjpHThmvmxMgKn59RPX1uoeB4ntNrD/Vffeitc53KkQ3LVVbt/a1OHPt7kVrnfnx2NYtRWOO5lC/8nRQjStCp81Mo9ooLY8FeezoErf7UZxzfRaI2i+VjrUW8B+vMyrvpI+bMYDqYpUCHpUgJaYUP1adkIVjayYBcCsvcpmyYuRVn6R8buMoR+XTGMcmzFLlpRFqUhfdDJbiyyrDMAzDxIW1Cvjm/8+ovJMW/Y1ReUFkUgHX2UwnuylEVTb9LBI2K3Km4Sx72UV+2epvzuHN8VMBcH8y8cJ7QBgm+1irgG/5plF5Jy38klF5QWRSAQcKVu8LNg/tWE17gpfD1NGSLH2mpdgLNq9wXAKAwlKYaNnNVTV6WvNVVmuSU5MfwPxVVa7PIhR6EBhqK7+HI9Xp5idnO24iMh2dtcpyxN9fmz4DANA4uA7zV1U5cv2uM6vLm6aYtbgeADzbvRIQV7UqfTww5YuOq5vN6MznTPZhBTweMqWAh/Hf8lMuwyiiuugmUAEKPuONgwXfpXJSLFRtYJMFTK6LXF9dtxw6TszAZ8qlR6xTa18LRj/+WKQHW9j6+PVT1EyiYerASnblIfuLeyXfUiVP8xtXOgnaVHIqJWMu495zJOfvYIqxVgG/71tG5Z102ReNygsiUwq4jKjUmlB+xIeA1ySvUlTCHMswpWB6zDPZII0XFH4pYhgGsFgB/9fbjMo76S8+b1ReEJkKQ0jh7eQQd17KLx0XFAKvo7MWHZ21roeNaB3vqevGkuWFATh87kLnjZnC73mF2RPrRmWYZtbiesdlwQSlhAuM4/pEliyfiSXLZ2LctImRzleFLySZMlHLMMn6kauL+tZrzK8fudp1f4hWQL+wiapwmbrHmoT2UwRBezLCIM4FcZBEWEwTm46TLNM0Xn2YdkjSUjAZmjXrrB+5OvI4NQ2HmWWSItMW8DDI7gKAHRbELGQaZBiGYRjb4OdnMlhrAf/p7UblnfSxa4zKC6JiFPCohPElZxiGYRiGKSesVcDvN7tf46RLk139yJQLShp4ubjIv4nLiaoslGImTD9KWf4KWo7VqUNvW95zqTfKcq/udTMMwzAMw1QKmbSAqyzP8s53L+t02CUrr+yWKtlhZMr+laY316UR3oraNo2Y4X6h+8SsoyZXK3SuM+xGNtXxXuUEZQ8Ng1cECJ2NyYzdGfbCjEExO63Ob0mvAs5aXI8bzttmbNynCd9P0RD3xVRyqNYksdYC3vcdo/JOmvfXRuUFkUkFPEl0Q1oB+g/hMDLTopxDctnkOiQrR34vZ0Gh18S+ihrBQjcTZ9axVfnJelzocoX7halkrFXAt95lVN5Jc5cYlRdEJhVwnYcnRUvI790HQG0tH1z/BOqXno+G9tlFx4hlAcDuRWtx2lcW4rn7DgIIVkzltOyiFVOVidAmpRDwzwDqhfyQMh3GLEoqejEZEMXUFl+ARj/+mPM/JUnSwc9S6Dc+g9pEda6XBVw81k9xjnNFor85h+fvvR9AISNs3JZgv3YndOrgJcdmS3YaBI3XNFa7/MZ6a18LJlw2DgDw3H0HfedpnYzKOkR9mbP1JbBSEcdyR2ctHtg1HABb2QFWwOMikwo4TcCi0iorjKKS1dA+25noRMXYT0kXywIKmRxlFwb67aLua/D8vfd7TuayMu5H2g8F02VGUeS9IOXowr13aMuTldQJl41z2rcURVmFTgbLsHLDjJ1SMNVPXi5bWVY0dKyfFEItzL07btpEHHzq2ZLqJhJHWwfd06WUKe8pkXMrRJXLMIxZrFXAf3a3UXknXfJZo/KCSG0TptdGP9q0J/8uxjgmi7X425vjp+LN8VOLNvw1tM/GjvZtzuf83n2OnDfHT/VVOKishvbZvv7D+b37MLZmkqcc2RLe2tfixBCXr9tPThhM+ARTPb2Q+4jio4vk9+5zXnBK5aYbd+GmG3fhkSlXa58zfO5Cp78bB9dhbM0k35jC9EcKpF/8djqW2mj7pkFfH3Qg2FIo1qu1rwVvjp9aFP9ePJbGkWrTr04Z9D/1k9+9p4LKpvLmr6rC/FVVzvFy3HyxPeV7wAtVnPugOon3mfi9fJzXbyI61vDq1hWobl0ReJyISvn2qoeqT+h4Osdvw7jcXvJnUY7Igp1NRcfO2VDjzGleZZIs1Sbsjs5a9LblnbFB87M4zuk38Ttxc7tX/4tl+Y0pnU3lcpuY3lAeVwzzqPHFddoj7pj6KqKW55eXQpw7Ca97gLGYYcPM/iVd/axYwNPKyraxqxoAcNW1h3yPi5rWvBzgZftkSMoabhuckTE5khxjabivMAwTHmst4A9sMCrvpIubjcoLIjMKeFr4LS2X80bFKEvqtlJO18IwDFPO6OzzYJLFWgX8wY1G5Z100VVG5QWRSQXclJ80wzAMwzAM442tCnh+2z8blVc1+zNG5QWRyUQ8SSrfXj7pMkG/i76vfsf6+a0xpSG3u5w8SZc4/QTD+Jh2dNZq+2Sm4duYtK9opcM+rIwKfqaUBt9TTFxkxgK+sava8cPWiVUsuoeU4kMaJma3biSJSvIPJ2zwX85ijGvb68yrUdmA3bAYhomKtRbwf/ueUXlVH73SqLwgMmMBP/3x+5z/Kc6rFz113Zhw2TjnuENr1pZcvkoJknfFi9EB/Kg05RswE4awVOToOTYiW41LUb77m3POS2EQ60eudpS0MFSCQhfGgmiDtUzV50uPrgzdV2HGg+44k88R/7ICr+wwjCUMO8HsX9LVz4oFXES0hnshx6olpVfX+qyTVj3IqqSTQMVWTEUoiCPSQdSsdP3NOVdIRBv7QBzbYVYNoq7yBI3FLIzVLGAyHn4UKjHiCEfPYRgzWGsB3/59o/KqZn3aqLwgMqmA+6FSGKIo4GEI615hu1tBuWMqyUc5JQuJ61pEy6Zfsqpyo5zGhmnYbYnxQse4xiSPrQr46w+ZXY16x8xk52trFXAdRZkecjvatzkpxWXLaG9bHgP1y1zp5k2HD/SytOhYndjCOEQSSkvWrWJJZTtMA5148lnvvzSgxDaAei4S+1/VvlHnMdF1h3MEMDbDRjF/rFXAB/7FqLx3NF5uVF4Q1irgJvFTMMIqH2zZYuKGExvFQ1TXJYZhmEqGFfB4yMwmTMpICQxFJqGNYxu7qp3/SUGmz/3NObyU2++cK24sIpmq8F20dE4bLWctrneU9QU7m9DfnHOVQfLoTzyX5FMZdI64PE+fdTY+LVk+E0uWz/TduKSSI4ZC9NpYRmmiKbydzuYoeSOVnGJc3LQkts+4aRNdcoLCqNHvUTdB9dR1O2NETuUtl0vtQ20tIve3qv5ecuX2pPYWx8aZJ72IM096EUBxWEKxDcJuYhPrK6f2ljcUy2OF/pfHrOr66Vr6m3ORQuOJMk0iKt9hNv3NWlxfdG/LUB/QmBbbLAx+8oPwamsKo0pjXixj1uL6omPDlquDLKe3LV80Z6jY2FWN/uacZ7jNjV3VrrFrcjOnzv1cqnwvshg6MIt1JvyeKRu7qp2+Xz9yddFzi0kRTkUfjVIs4LRcJIcaBIaWSem3CZeNw3P3HXSWl+Slpv7mHB5sut2RQ9BSLMm5qPsaAAU/VqCw8ZIUs9MuOcd1bkdnLS7YvMJR/JceXenasKla7qIHR37vPiPW9SDL/rhpE3HwqWdLliOi8oU36e4jTpJ+dVqyfCbuurV4fJHvqdgX8oqGzgpHnC4b4tho7WvBhMvGafnLBll3g/o7rqyu5bhipBpfcWyyFP1hSxlzOqFUVf0U97J83GPDdP3T3khbbnB7ZgdrLeAPbzIq7x0fWmxUXhCZVMDD4vXw0tnw4feQ8Iq0IsoHgFMPP5O432qpvrJhoiZ4HSsq5DptHYfrxZLlM/Hp338DQKGfWvtanJcpAPjt9MsAINTGH1XbmopzbsrHOWx9/Ppb/C1sn8roKF1yG5TSJiZelrxe6FTY6uZi24tQqfcLK28MkxysgMdDJhVwefIOmsxLmexpon9z/FQAagUl6GEQ5gFebph8UJIiOOLAnpLkVWJINqZ0sqz0ZbnuDMOki60K+P/s+LFRee9s+LhReUFYrYB7WW3CWJl4d3Ny2BJNwwtbrZMiPF4rm1mL67F906BxubZZwBmGyQ7WKuCDm43Ke2f9IqPygrB6EyZteJQhJcprY474WynZD8VNMqVuvjG9gcdGbH+42658A/4+2D113ZkZR5wtMBpxKN+ViryhlGEYxiastoB7oeNSYsri45ftUty4FsbNxZS/cFjY9YJhGIZhmDDYagF/bed9RuWNrrvMqLwgrLaAe0GRSNJmzbw7HYtlGIU6LT/M+auqWPmOARss0pVmcY66EuC3alYplBLGkzEb6jAJuUwBv3CWTEbhMITRMB0FJU0fR7KENw6uA1BQdMWbfPjchTi2dYvz/0D9MtexIqb8qFWRI+Q2UoWeC1O+XAadK1raTVrd2Y81fTgTJcMwTGVhrQX8kR6j8kZfuEDruNtuuw233XYbXnjhBQDAtGnT8JWvfAXz588PVV4mFXAdJdErRGBYBTeO+Mi80S5dsqLIJzlO4ooDzjAMw2QbWxXwV//9p0blnfznH9M6rqenByeeeCImTZoEALjnnnvw9a9/HY899himTZumXZ61LihLls/0zDxHCW7E7GTykvTz996P5++9Hz113a5MmFVTJhfJU2UTJFkTLhuHCZeNUy5biZkwVZknvTIUihtDVdkUw+BVhuq7KMv2YZbrTJXpBcnqb85FyjRISuZLuf3OmKA+BMIvAYfJQCmeo1NHQK0MB2Vj9Pvdi962vDPOVeWpju9tyxf95jUOddtVp+5eYyzKdQcRNMbo91LGd1CmVPl7v/tJ57dSsxVu7KouyoxKGU/p97gymYaFXToYE9gynhkFKbmgLFiwAJdeeikmT56MyZMno6OjA6NHj8bOnTvDVT9NC3hPXTd2L1oLoBChoqeuG8PnLgQAVxbKhvbZGD53YVGWS2LNvDt93StEq7e4hE7f07k72rcVuWPsaN8GoOBe4rX0rsrMKddBxqvMuIgjBJ+8miB/7uisxWvTZwAo9KH426zF9bi49phTJx3XBq/29DtX/E3HohzGEiy72qjqENalBwByVY0AgAs2ryg614SlWsc9iVKUr/jNMlcdxHNlZc/PHUn+HXCnrr7pxl2hri3MKoaY4InqM1C/zJlXxLr5hT6lsUz1I1nHtm5RHk9letHblleeK7YZua7J8wT1gzgGqe7inCoeC3jfA1Hmo6D7X36ZTGMTuI0bz+U6+Y1lG+tf6dB9Cwy5l9I9d8HmFUVzSjlgrQV8l9n9gCMvuAhHjhxxfTdq1CiMGjXK85z//d//xQ9/+EP81V/9FR577DGce+652uVl0gUlLdh1hMky7GbCVBI8XzOMGaxVwH/ZZ1Te2n/diVWrVrm+a2trQ3t7e9GxTzzxBOrr6/HGG29g9OjRuPfee3HppZeGKo8V8DIjK/7NlYrtyYoYxjbC3jNsNWZ4s7hZbFXA//joVqPyRp03S9sCfvToURw8eBB/+MMfsGnTJnznO9/BQw89VP4WcLJskLIpRhmRXVAmXDYOY2smOd+vH7m6KKa3n9JKci7qvgbAUAjB9SNX47n7DgIouFe8lNvvyCW/87E1BQd9ld+5HIowjHXSL620X9xykY1d1bjq2kNF37f2tTjXEySH4pmTj5xKXhwvBGEeyP3NOTzYdLvzWRw3IlVTJrva028C1ynfz/XCD9FqR+OI+kAVP97PDSIMfv0Upg/lY3XHY9qkFZtfxmtslVq/oD6kcTTiwB5j7ZD0y2aYNqK6iXOp37wah0LHL+P2Io4l7qfKUcBP+eDcyOfOmTMHEydOxB133KF9TiYV8CRh/zwmSdhywzAMw9iEtQp47gGj8k6puTjyuRdddBHOPPNMbNiwQfuc4ZFLs4AkFGC/N1+vTWU1+YGi32VFPu0NSfKGV/m4UurFbjDRYeWbYRiGYYI5juST5wDA3//932P+/Pk488wz8eqrr6K7uxvbt29HX184n3S2gDNMmRDV7YVhGIZhvLDVAv5Krt+ovHfVzNE6bsmSJXjwwQfx4osv4l3vehcuuOAC3HDDDbj44nAWdGvjgPshhyH0OsbruDDpaGU5YqzdqGltdeofFTGudSmEuTZTsb51y4wal5XandrIhhTyQQS1B7VZa18L5q+qcv4YRsRkPP6sUGnXyzCVxvFhJxj90+Wuu+7CCy+8gCNHjuDll19Gf39/aOUbyKgFXGezjalMmFHcKUrZMGXLZrByhNs2edgdiWEYJtvYagH/w+Pbjcp79/RZRuUFkRkLuGjNoKgWZP3rqet2MrLRA//Bptud4yiZDgBXVkySobIa0+cd7duwo32bk+1NtNKSdZwskAQpeeLv4nl+Vk3dFwux/lEs8ToZGcNa6qkOYvZDsX9Khax4UbNzUmZUuS9oDMhleaEqX/7Oq19ILrWRbM0X6yGOZ/F3VeZO+bgofadqB7FMuR9lqyrVV7zuqimTlVGAVGV4WWnTymgoZnzc2FXteZ9RdlZVf4bFa2zrjHmv+lHf9dR1B2aqFM/3um/FcnQzneqs5NiE2KdAcIbSJOojE3UFNi3CZMX1k5EEcjmVuILExE8mLeBhKDUZg194wHJObFJO15ala+HkIQzDMIxN2GoBP/wfZvXIMX+a7HWWvQKeBKrY4kC2FD+GYRiGYRgZWxXw3+/+uVF577ngI0blBZEZFxSRsMuxpWx61NnU6JVkZM28OxNXvuVlST/3Gj/CuKBEcQ0phaibTOOqn4lNr6Icm5eW49xAnGQZDJMl0nLDYhgmPirSAu6XuVEkiU175bBh0y+DnAwnL8o+SW+s5Ex0DMMw6WGtBfyJXxiV957zP2xUXhBlr4CzDzjDMAzDMEw0bFXA//vJHUblvfe8BqPygih7BTyIMFkfgyxxHHKNKXfGTZuIg0896/mZYcoRHudMJcMKeDyUrQ+4LmFcIYIU6wU7m5THkI+0VygpEQp7VmnY6vPMuJGVEJNKyazF9Zi1uN6YPIYxBSvfDGMfxzHM6F/SpK6A+23281JadSzMYeJjq8rpqet2xf3ubctj1uL6onjjYllezF9VhWNbt+DY1i2B13LTjbsC66tCjmudBqXESQ3Tp2GQ+8nrN1vQzXypamu6l+h+ihLLPU22bxrE9k2DaVcjEmHiBEcZx6X0Y5j7Muw9HHQtUa416jzCcZoZ26hUg1pSpJUJ0xSZcUER3T90/LpF/+yg4/02BpKchvbZvkqi6MoSVF5PXTeGz13oWWbamNz0FodbTqn18/LdFxWF3YvWRn4ZEunorA0lR762oGulsXts6xbtNgmqU1i3LEp0tWbenUb7O46xY8Mm4Kh10B33YcccyQbYfc40Yl+Eua/CUsqcaMM9YQpSeKPM3XwPeGOrC8rvnnrEqLxTp11oVF4QmVHARXQmG9FiJCpaqoeTOAHJyhl9Hv34Y0YUsqSI8hAuRzo6a/Ha9BkAgMH1TwRaWMM8jMhdIkim3BezFtdHsvSG6VPxJZDuF3o41eQHiq5PvG4TY4eUjVIeiCJh5Og8SONUhmxEbpO0la6szU9xROLJWnSftPpMbCd57sxaG2YVaxXwp//dqLxTz/1zo/KCyKQCriLNB4qJ7IVh6u+nSNmOCQsFkLyVQpzoK015kxH70IYHIGcPZeImznte90W+kkn7hbHSsVUBf/npXxqVd9q5f2ZUXhBlo4CXgp/FLI5lKVvid1cqWVpqtEHBZZKD5waGYWyDFfB4yLQC7uVmkjReFjgv//HWvhY0Dq4DkO4bfdyKaBiLdVgLU5aU6HLCRus/v6QwDMPEh60K+H/uedSovPdP/aBReUEYU8D/8Ic/4N3vfrf28bICLj9E+5tzeHP8VOfz/FVVTqru6tYVOLRmLcbWTAIADJ+7ECMO7HHJe/7e+wHAOaZqymTnt/zefa5jxQ2RpNgNn7vQ9flw03UY030LDjddB6CQRVNUsF/K7cdZV1zqyJyzoUa5+3/BziasH7ka1a0rnO9GHNjjqpOXMkHWMTGTp+zSQVkp83v3YcHOJufY0x+/z2lPui6VSwXV7dCatU77yf1CdZXrqbLeUX0emXI1Ltx7h/N7b1seuapGlysKHfvb6ZcVZSntbcvjd2POVl5LEPKLgKi8iymeqc2AQrbUq649pFT0qb3EDKC9bXlnDMp9v2Bnk7OEOuLAHlcbLVk+E584uc/5Lb93nzPGxnTf4iqb+pLaYM6GGs82k/t06dGVrrFNdc3v3YeqKZOLxp+4uZPuj0Nr1uKsKy512l51LXXfvBhA4R4V7x+dF7BcVSMAOONE7Btx3MgbTv1eCvqbc85csPToSuf7jV3VOPXwM77jRxy7Z570otO+HZ21rs/ivUTjhs59c/xUzzJozNC1dXTW4oLNK1z3pTjmgyzjckZasQ9p/pPvw41d1Thy/TXO3CXeAzQHU/37m3P47fTLcPrj9znl0Jg89fAzrrqI5wDu8SnOUUC4l+gwm5R1VhP8sviKv6nGYli5cn1oM744PrzqE3ZlRJRTygtq0isyHZ21kV0rg3zUw/Sh33WHbROv6Dy2GTL8sFUBf2nvY0bljZ0yw6i8ICIp4DfffDP+5E/+BJ/61KcAAJdffjk2bdqEsWPH4v7778ef/umfBsooxQKusjh7bZ70s4yb8h31muAqJVOm13VGXaHwUqhImaOoG2HllruvcFKW4CiRVxiGYZhswgp4PERSwCdMmIDvfve7aGhowAMPPIDLL78cP/jBD/Av//IvOHjwIH72s58FyrDJB5xhyh2ygjMMwzBMGGxVwF/c+7hReR+YMt2ovCAiRR5/8cUXceaZZwIA/vVf/xWXX345LrnkElx//fXYtSu+MEVyopGOzlrHBUNO+CAeJ35Pbiy6rB+52vMcSspDCXt0sTEBjAnEJT4ijsRAYdua+on60VSdwiRfEeuj+3uYsRqUqCVI+TaRtIcSBIltkmZiKGYIugdsgccEwzClUpGJeE4//XT86Ec/QkNDA8455xysXr0an/zkJ/GrX/0KtbW1+OMf/xgoI6wF3M+/y8+6V6ofoAj5d+qWTwrUqK/drjyPSR/dvq9UeIMjwzBMZWOrBfy3v9ptVN7p51xgVF4QkRTwL33pS/jXf/1XnH322XjsscfwwgsvYPTo0fjBD36Am2++GblcsKWFXVCYUhA3ojIMwzDlwZLlM3HXrawf2IStCvhv9j1hVN4Zk883Ki+I4VFO+sY3voGzzjoLBw8exNe+9jWMHj0aQME15Qtf+ILRCsZBmiHsOM6vGVjxZhiGKT9Y+WZ0OY5haVehJEI7vbz55ptoaWnBX/7lX2LdunWYMWNo1+i1116Lv/7rvzZaQV1mLa53MoqJqPweF+xscpTvJcvDvdlt7Kp2rK+if6uunCSV77DXVko5SZUVlnHTJvr6v46bNhHjpk1MuFbeyPWUfWWTqq+pPtWRQ9fjdQ+LlOI7TG1nU3+rsMVfO6gvKglui2xh+z3OMEBEF5R3v/vdyOVymDBhQuSCX/1lIfaxGG6O4uACQ7G5RehYSmRzbOsW57e1ZxQS29xw3jbkqhpx2lcK54+tmYQd7dtwUfc1AIAHm25HQ/ts5zw5LjQhb65ThVyjh+Tz996P5+47iNGPF0Li3HTjLtf5uapG1OQHXLLk2MpyfGySo0KVurgUX92g+KlBeMU81rkWkaB0w7Th9oFdw3HDedu0jq3JDzgxzQG44ljL57f2tTjj5JEpV3vWWRUmUf6OxtTuRWuL5HiFWezorC2KlS7HcBbH0fxVVUUhAVXJjyi2O5WpqqsYC19cpRHHsarO60eudsXjl8sQx0auqhEP7BpadLu49hiAwtjob87hkSlXO5/ldqHvVOPca1WJxh/NKVVTJuO30y8DgKIY4F59StdN8Ym92kKOx+/XbvSbPC/Ix8n9IMYMp/rKdRQh2eJxcux9kkVzqdyHP3p1Hj79+28AGIp3LyIeq4LkLtjZ5Lp/L6495prrRxzY47ovxfrohrsUrwMohCulhGfyPCT3t9h2pcyFQcxaXO/M2zpztl+/EXR/RL0Gv3nXK3RrnAm5Sn0eAeo8E/Q9AOW9r5vu3q9+Yeo+a3G98xw7tnULdi8aek7FOQajYKsLyq+fedqovDPPPteovCAiKeCf/exncf7552P58uWRC2Yf8ALskhIv4ksdJd4R21t30mUYhmGYSsRWBfzgM3uCDwrBuLOnBh9kkEgKeEdHB2655RZcdNFF+OAHP4h3vvOdrt//5m/+JlBGOSngHCmCYRiGYZhyhBXweIikgJ911lneAocNw3PPPRcoQ0cB97JOksJLy+0v5fYXhQEU3UpEBVkVMpCOrZoyucg6Ki5pysuztKx5weYVONx0nZOOmVJwv5TbD6AQhpDSilPab3IrkN02TFnE07CsU5liv8nuPSY2wIZJKiP2vTxugCFXJ3IL8nLTUMn0uxYvF5SglzW/3+VxTK4fQPHYDYvXtajawetY0ZXl0Jq1WHp0ZaobnsOgul9Url5x4zXuSl3yp36QU5+rjvMbf0Hny3O2mCXXa05W+fXT3Dm2ZpL1YycssruSadggNAT5gh986tmUa5JtbFXAD+z/lVF54yedY1ReEJEUcBOUkwU8Tn+4LNUhi7ALSrKI7W3C55JJnrgVSIZh7MJWBfyF/fuMyvuTSZONyguipNQ/R48exa9+9SscO3bMVH1iQd6cZArKkmmD8mZDHbLI/FVVsbddXOPPj1KiaHhFEAibKVMV/URsb922Z0UvPSjik8hNN+6yuk/EDMlpU2p2WcYcHBmFsY1ICvjrr7+OJUuW4B3veAemTZuGgwcPAij4fnd2dkaqSJxhnuJ6WCw9utLTFcIvXJoqYkCYVOA64dqoDPFY3TBvHZ21kVKI6zz0Snk46tQ/jOygNPJesug8r1T04nk9dd2u8aeTvl7nOoMoxR3Fa7mWovzoUko831IUqChj149KDkFna7x9v/sojheEqGNgcL1+opA4xlklj12ZrLmhcN8FU5Gp6JctW4aHH34YXV1dmDdvHnbv3o0JEybgvvvuQ1tbGx57LPhBXYoLio5/s+h76EdvWx4D9cs8jxXlmHLz8ArtZBob3FJsSvVO7e43NnTHDRC/+wqFRbSh7bwQXxqTGNNhsGnsMQxjJxyJLBhbXVCee9bsS9WEicmukkRS+Tdv3oxvfvOb+PCHP4xhw4YyEZ177rl4VrNBVBYqsr4GWb8ebLrdOb6nrhutfS0uq5coW7Ysi/93dNY6GylFeeL5De2z0dA+G619LZ6KFpUhWmXkaxHr6oeqDqq6A+43ZPn4nrpu1wZSUbbqeFkmHRtkrRVRHZvfuw/5vcF+WmEsljrHUl+o2oVQ9cWaeXc6L1t+5dMG3WNbtzh9Lx+j6kf5O/m81r4WZ9w0tM9Gfu8+LYuuTpv4yRF/8xuj1KYqOX6/hUHVb2HP723LY86GGteDVWxbeY4JM6bEc+g+11nZCItqbNiGzpgyuRoRBpPlmujboP4LmnP8SKuNy4E4le+oK3ncn5VBJAv4O97xDjz55JOYMGECTj75ZPzHf/wHJkyYgP/4j/9AY2MjXnnllUAZXhZw8jmUlz5FSzVQbG2Toy3QZDfhsnGuJCQiOpu7SM7oxx8rOnb9yNUAUOSG4pfU49jWLdjRvg1T997vus6o1jqv61ZZI3UiUpA1QKc+FI1ElfyFiGPDVpgoKCLUNmJSJmqnMKsFOlEGyP9ZdsMIKkeUHcYyI9dJXGXRaS+dsSGv3HglxQHgvHRRgqz6pef7rj7orgqFtVb5jc2oxLmyFHZ1TPc+pYg5Xm0gzpdh7q2gFSOvOTKuSB1i+/mNFVsihWzsqrbWzafcSGrluRyx1QL+rEbEvTBMLCG5ZBQiKeAzZ87EJz7xCXz5y1/GySefjN27d+Oss87Cl770Jezfvx99fX2BMkpxQdGZtEiRP3L9Nfjegp86ocTGTZsYyhfMz81ADHEkZjgLOld1bBIhz3TKkP3OotQnjfBt5YI4PlXjxA+x78K2vQ19pvMSYINbFcMwTCVhqwK+/9nnjcqbNNE7xHYcRFLAd+zYgXnz5uHKK6/Ehg0bcPXVV+Opp57C4OAgHnroIXzwgx8MlJFkGEKVdRAYik2rawkpt4d/JcRIDfvCpYMt1jMZ2R87jD97pWNrnxLspzqECUtmOVpDK2E+LxVqo3945rORVlErFVbA4yGSD3hDQwMefvhhvP7665g4cSJ+9rOf4f3vfz8GBwe1lO8oiP6lOr6Qou+3/GAlP1+dhy75duq4Dojn+OHl/16q32tYDj71bOyTdRy+sWH86g4+9awzFmg8eLW1rs+qX+IdmbDXLsoR/fWD/GxJoaA/AK7/g+ok9pNfneW2F+9L0/1cKqJPO+0T8YISCEXBZMg7rzacs6EmsBy/ey1oXKfpqx2WhvbZWsf5PSf8lO8o7RCl/Uy3t9d8bsN9acvYojZi5bs8OI4TjP4lTeQSzz//fNxzzz148skn8fTTT+O73/0uzj///JIqIytKcji2BTubsGBnExoH1xWdKx9Lmyd72/KuiTiM8tvRWYuB+mUYqF/m2qwp15fqRsibHzs6a10bNXe0byvaHDp87kIMn7tQWQ+dsHRiBkdZmYoyAUfZ+Eeb0eKmJj8Q6ngaC42D6zBrcT12tG/DjvZtRXXd0b7N6QfA+6GhUoS8XuS8skgSYr92dNZiR/s2p793tG8DUMimuXvRWmXbivX1gjYK+kEbSsW6yP3ZU9eNCzavcNVdvC8o86mojJOcKCG1/Ma9X9hOGvPD5y50HbN70VrXtURFLveBXcM96xCWgfplnueq9lGI96nYh2J/97blnTGkQ5iQqFRXeXzR+fLGdPkFM2hTuArKpOlljKEyxeeEaqO0n/ywhGlfsRzdjcthxpIsK45VW6/6eI2dNFaX5DoGtWEcxqJSydKLcRocxzCjf0kTyQUll8thxIgRjsK9ZcsW3H333Tj33HPR3t6OkSNHBsr46YhzIi8Btva1KJVwINxkY2rZmSJiiBNwTX7AeRgOn7vQUVRq8gMYqF/mqr+YFZA+A96bRFUbG8lCT3JyVY1F54rndXTWOoqsV+pr1W9+fslUB9GfWHVdKsJkO0zSFUjcPCuntI+LtP2x/dpXHDcypvrEr3x5nIsvnkF16G3LO/ehzYlkmOTQDSWqO+eE3bcRN+XmNsmkg60uKPuePWhU3uSJ44zKCyKSAl5bW4sbb7wRixcvxnPPPYdzzz0XH//4x7Fr1y587GMfQ1dXV6CMUnzAk/TXlDeGiRO26GMbxqdQVX9b/HU7OmtxweYVjvU17fqYwJa21UEcR7b7JTOMbYgKJyufDGMGWxXwXz37a6Pyzpl4plF5QURyQdm3bx+mT58OAPjhD3+ImTNn4t5778WGDRuwadMmIxXzi98sL7n3N+eKlo+8YvZ6ldVT161M3101ZTKqpkx2ZI04sAcjDuwBgCJ/W7lMSlUvIypV/c059DfnHDeJsND5qu/DngMAr02fgQU7m3BR9zVOuL4wdZEJs4TmVy9Zpu6xwJALitzHG7uqHTn9zbnQS31+50VdOhTbnJbaRbyWSYPaQidWs24sca8yxc+6fSOfH+W8KCRVTljEeon97FVfsd+8xkaUGOdeqFLT+9XPVJ96yZHdHUSFu1KU76y5KKieiVnC1rmjEqlIF5RTTjkFjz76KM4++2xcfPHF+Iu/+AssW7YMBw8exDnnnIN8PngiNxEFhSbfhvbZRiyFYS3TonVcFWs5S5ZXmSzXnWEYvocZhjGDrRbwvc+ajaE/ZaLawBAXkRTw2bNn48wzz8ScOXOwZMkSPP3005g0aRIeeugh/NVf/RVeeOGFQBlJhiFkGCZ52IWGYRgm+9iqgO959jdG5U2deIZReUFEckH5xje+gUcffRRf+tKXcNNNN2HSpEKWtR/96EdoaGgwWsG4CXJnCNq5H9YdQqc+5UQcbgWmdqrLLkpJYOPyZVw7/1n5TpYkXXgYhmHS5vjxYUb/kiaSBdyLN954AyeeeCJGjBgReGxSFnDeiMMwDMMwDBMNWy3gT+//rVF550463ai8IEJZwE844QSceOKJRX9jxoxBXV0d7r//fi3lOw68NhGVqnzLViWVBRzwT/qQBqVadL02kDLxwhZMhmGYdOF5OBtU1CbMLVu2KL//wx/+gH//93/H3XffjXvuuQef/OQnA2Wl6QPOm5OYcqS/OYf83n0Agt0/VLHkk4AebJxW3R7CxOD3g1cbzcP3C2MDtlrAn9z/klF5500aa1ReEEZdUL71rW9h48aNeOSRRwKP5U2YDBMfppQqhmEYprJhBTweIqeiV3HJJZdg3759JkXGSqnLTHGkibUlFS6nwM02aSnfPG4YhmGYJKgoF5Qgdu/ejblz5+LFF18MPDZuC7gpNxNdOUEh18ifeunRlS5/cdNuMHLmzjSJa0laFXO9EuAlfoZhGCZpbLWA737mZaPyLjj7NKPyghhuUtj69esxY8YMkyIjk4R/NynVY2smBR4rK4xy/UwpzpRCHvOaSorDbOIFJoyyGEa5jEP57m/OWeFn6ddnhQys6dWR43p7I75gMwzDMEwQoSzgy5cvV37/yiuv4Je//CWeffZZ/PznP9dSwsvBB5wfugzDMAzDlDO2WsAff+Z3RuVNP/tUo/KCCGUBf+yxx5Tfn3LKKZg3bx6+8IUvYPz48UYqFgbR5zRJC52oeLf2taChfbbrd6+69NR1O5ZqlSXcxDWo5JB/+fxVVZ4WZ9MuLHFEnGnta+EINpbAfcEwDMOkQRp+2yYx6gMehnKwgBM6SkilWsvTCneXBDb525dKOV0L4w3vI2AYJiy2WsAfe+a/jMqbcfb7jMoLwmgUFFsxFZVBjlBCER90LIBLj67MhPJtOgrLTTfuyqTyTS8OKkRlNUsKq5isqqOz1nWNWbuWSsPUHEarX17YEoWJYWzBhqhOfF+q4VT0ESnFAq5jxRHdLUqJmuHnQsEJfZg4CbMxNOoYZ4sowzAM44etFvDcvv82Kq9m8nuNygsikwp4WsjJTco5S5mOS4KO8raxqxoAcNW1h8xVLiSy+48NdWIYhmGYLGCrAv7ovt8blffBye8xKi+ITLqgkELlR2tfiyveti5+58muFA823Y4Hm24PXUYW0HFJ0LGcXnXtodQV3efuO4jn7jvofLahTqaJMtYZhlHj94xRJXCLKwHV+pGrtZ53DFOJsAtKRExYwGnCGz53oXXL6HJUFFGZ9Yt0EjYKipelOomYzbIFnDajytFW6H+GYRiGYbKFrRbwX/7qsFF5f3bOGKPygrBGAQ/jixoUYi9pkk5QIm7IyJpiW0q0jVL7uJR+Et2PKt1vWhx/A/XLUt8DUen9wcRPGgYNE3DyLMYEtirgu371B6Pyas95t1F5QVijgOtAy+wN7bMDJxVR0QuahPx8gmn576wrLsX33/O3uOvWoXrzJszyYWNXtav/ZX//sOiuTMjliJspe+q6UTVlsuceA1GWzibMuF9Ss/xiSERpo1I2eYchqXK8sM3wkRb8whcefhHINrYq4P++9xWj8v58yruMygsiUwq4SE9dN4bPXQgAOLZ1S6o3d2tfCxoH17m+O7Z1i/M/1RMYelDJCloUdxqx3PmrqtDRWYua/ACAgmWycXCdSxaVsXvRWtx04y7lw7O3LY9jW7cUJQoSj6XwdTX5AWVdozyUS1V4ywlbY6f31HU7YydOZAVn1uJ6bN80GGuZDFOulMMLQyW+6NkEK+DxkBkFXAzJRm/TYhQSL4VWRzH3i2ZCcsgSSRbxsTWT8FJuPwC95DpifdaPXI2xNZOU9QsTei6oPJVswFzUFrmucpmkzANmE7yEaSOyIgNAfu8+Z0UEgPM9UNwm8kYrv+v0qqNYpm7dg9pUZP3I1TjrikuV9Te1l0AuL2isiytGczbUWB0pSGxreQUkiiyg9Os0df+LbOyqxpjuWwB49684r4UZN2GuWz5WHHNh72m2pjJMctiqgO80rIDXsQI+hKm33qBMlTrKR5iU2ypFtFLf3NlyES9pukGZHNeVpFRx1lGGYbKErQr44J4/GpVXP/UUo/KCGJ5oaSEZcWDP2/8VW/d2tG/DhMvGAVBbbcTQTWPbZ6N3bt6RKVpaetvyGHHgbUvoTu+6NA6uQyPcCgeV8dx9B9HQPhuHm64DACy4tlAXx+Kzym3RrJoyGW+OnwoAsViIddC1OJWqZA254pi7vjDKmmwBl118bHtBCLIyywp33Iq3X3102sxP2RQtorr9GeZFOIi0Xox1IyKJlFJXvxW3sOV4ybLJyCCGA4wyr8axCsEwDCNjtQWcYbKEju+2HK+bN/DaxazF9QDAPueMESppZccUvB9ITZp7g2y1gO/Y86pReQ1TTzYqLwjrEvHMWlzvPAS9oIFoiv7mnDK5Qlz4lRW2HknX3a8OYhQM+j6u8qIQNG7Cjiu57W+6cZczOXr1y5p5d7r+ZHkicnsGYfq+0JXf0VlbUtlB5yZ5T2zfNJiq8h1HH5aSICaO5DJZIOy95wUr3+Fh5VuN+HxhCnAinoiUYgHXeUNesrzwxnbXrQ+VlPjGxrTltrlNZJm4rArl3Ec23hMMwzBMPNhqAX/46deMyvvQuaO1jluzZg1+/OMfY+/evaiqqkJDQwNuvvlmnHPOOaHKy6QCbls8WpN+qbrlAdl0Xyil7mSN29G+zRV+UZdS/FTFPuZl5SG4LZhKgMd5upSzQSML2KqA/+Lp/zEq78PnvlPruHnz5qGpqQm1tbU4duwYbrrpJjzxxBN4+umn8c536skAMqqA2wJtwlx6dGXojYE8mTMq0hobHJmDYRiGUWGrAj7wlFkFvHGavvIs8rvf/Q6nnXYaHnroITQ2Nmqfl1oUFNkaSUlkclWFyssuAaJv5AWbV3hawIHCWzJ9Hqhf5sqcKSaryVU1eiakIZleUUoK9VdHh+jorHXVsdifcKETlUVOzKOTiEflNtHblkeuqtF1bSI33bjLdZ6XNVi8ZgBYe8Y6bN80qCyTXIG82h4YioIiJ/+hthf7NcgNRD7Xq03Ea6OIOUAhg+rwuQudOomWdBm6DpIj/y+3Nf3vJUu+BvE3cc/DjqUt6Hh8LQDgtekziurnJUvuS1UoTELVfiLy2PDqX7E9SC4hj0O6t6lcPzeyUjZhiff3sa1bPO8neb6hpFLitYn94ucXLpZ585OzA33IveaboDlQVS4h399ByPeS3xxIBN13QXWlY7z8q+XxpPoN8H5JleddcdVKrqfqhVNONvbArsLjcfumQdc9Iff3it8sc2TsXrQ28DkmtoPXXE+/BSU9k+tOiHVV1cOvTD/CyJM3NMvneskS24jaWsfyLc8b4meqC/WVOC/IzzG57bzqSIj186uDjCrBmI6lv7ctrzXPMOE5cuQIjhw54vpu1KhRGDVqlO95r7xSiEf+nve8J1R5mbSA64SJCmPR84t8QFbuUV+7HVdde6gooQ6gl4gnaVRtZDopCk3YcoZN+fc4CUqgsrGrGqcefgZAYVIzmXzFBmjC/t2Ys32vJS7LepZCtonZcyttKdvvwZ52CEGTYyjta2HSg/s+Pmy1gD/01OtG5f3bD7+GVatWub5ra2tDe3u75znHjx/HwoULcfjwYfz85z8PVV4mFXAdCxltFAOAMd23uDJkRskQuLnhNtx160MuJVZXAe9vziG/dx8AuDIx0ueoxKn86CjrS5bPxF23ZseViMZNObpb2KII+2U7ZNIj6YykWZsbGIbxxlYFfPuTZqIVEfVnnxDaAv7FL34RP/3pT/GLX/wC1dXVnsepyKQCriLNBz25bcjWNdpwOLj+CZd1XVwuHKhfBhGdzYleS3fykrm8BHfDeduc+onLqFET06jciMSlPHF5VqdfgvowjY04qtURtrTEC41VVRsnveGZYbIO7zliSqVSFPBZ54V7rn/5y1/G5s2bMTAwgLPOOit0eZlWwP18YJOmta8FDe2zAUC5zC1H/4hbmVQpiWKZcSqRYjlxvBjxA8UebFGI/dzIshw1iGEYJm1sVcD/7QmzCvhHz9fTiY4fP44vf/nL+MlPfoLt27fj7LPPjlRephVwQqVMmn7o8pJq+bF+5Gr849l3AwAOPvVsyfK8ViZ03UP4xYIxSRxuJ7z6k+x9yuH3GBuwVQF/8Ik3jMq76PyTtI77whe+gHvvvRdbtmxxxf5+17vehaoq/XvVmkyYYTLXydnZ5q+qQmtfiyvNd0P7bDS0z0ZPXbfrePncjs7aomPkevU351D3zYtdO5/l4+X6q36nY+R05CLkV+6HTqY/1e+qtlBdt04ddPFr21JkRjmWrovqNLZmEg4+9ayW8u03hgivTGW6ClDVlMmuz/3NOd/MiOtHrnauhca/eB+I/4dps1LuRVUdTY6nKND94ndddB021NcUczbUYM6GGvQ357SvK6g/bVEEveYVnfu0VJJ8SZ6/qsqaNmcYpsBtt92GV155BbNmzcIHPvAB5+8HP/hBKDllYQFPC3qgP3/v/cqNmDZHSWEYhmEYhgnCVgt4/+4jwQeFYM4F/uEGTZNaHPByYMiyWYPWvhZXzObCpswVAICOqkJ8WmAoCkrc4dBUkWJEf2y/peSoS6yqeKocBYNhGIZhGNOkYz42R+oKOC2RNw6uc5LmAEMbGYGhTYNixJA18+50zqVzALiSMADARd3X4MGm2x3leKB+mSul+PC5C4vk0m9irO+xNZOKknqIqdHFOlAZre1DriY76J95TYUEMG9fnyhDrgPhlfhEThwittFrfQAEOaLST0mARPnidS3Y2eTyofdS1mkDnnMN01vQK7yEiElwWrFNeV2qCCzHtm4pSpAhXqsYccYrkYiY2EhMvCNCiXkIcfzJ56rq45c8SexXv30IcoIfsQ7yuBKhestRdLwQ66DySffaMyEeK96rQKEfxOuTkx6J40j+3Di4rmiTsihXvv/F47zuDzpWdj2gOonnhUk68sCu4bjhvG2usaDqN/G65BdP+ny46TrsmXKpqz7isbIbnZxUxm8zt/ybytWtcXCd8v5SzYH0vTxfiu0g3wNe9yEdAwyNGxnVuNdJTOaFSV9tv8Rlqrb3Ok8VOUpETOilk3woqK42+ezLY0PVZnLinVKScqnK92sLP2NRUBK7MAmKGIaw1gVFTqAiDnpSCsTJnxCPAeDE3yaqpkx2KR9y5kcxe+WIA3vwYNPtAAqK/Jvjp7oePqKSL8qU67f2jHVYefK3ABSs5mICmI7OWly4945E4vOKE+CS5TNx2iWFzQNBDw1dVA8JkxZwVZ/qyKXJkdqZYsRfde0hp00OrVnrchXym/hlBVaV0EcsoxTkelAbvDl+qpEHK/WZ1wNk/cjVRS5UXtGHVOMmzEZA+QGtOlelgPtFYklKATG54VGV/ZD6ye9+ivqbiNxeqpc1cWwHjUfRgMGrYExSeL2wJB0Pv1yw1QXlZ/9x1Ki8S/50pFF5QVirgNuIeFP7palnhsiqC4oqTXA5E3c/iam9Af/U7kwxSUXe4Eg8DMPI2KqA9z1uVgGfN50V8EDkJWbVMqW49C0uaYr/B/lCh6kPyQLcriEytFwp+ourjvEjzvjnURRP2XJJMZnFZfugpWSdfvBz+fCTK65wiIRRNPziqueqGnHB5hVGl7sBhHrBk63AYcZ11PFEbSu+lMZtbZbdkaKOqSDXAEZNWrkXdPeviMeW4r4iE9f4SOJFX36pCvOSpXss3z/lDSvg8ZBJBVxF2vFSe9vyyFU1AigsHZNvMuDOQknc/GThJYAm3ygPNnlyFJXN3YvW+mbKvLj2mNLFQlSegWJ/bD9oEhbdGUQfR/FzKb5yJv0CdcoC3PWN+2Fjsz9hEg9anf5N+35nKossK5hJzpflAreZG1sV8N7H3jQqb/6MEUblBWGVAq7ypRUhy8ZLuf1YenSl44v46zc+4GxeoQ1ch9asBVDwPRQRYy2/OX4qRhzY4/iDbeyqxpHrrwEwFDpQtryIVkkxzGB/cw5vjp8KAI5MUakm5fymG3ehvznn+DHLyq1u0hYvZFeCsIqKvPlU9v8V+yjIOrJk+Ux84uQ+z/KjPtTCTI7iBrOG9tmomjLZaXvVptq1ZxRWJujFyC/Dop+ftwkfcJW/orwZaMSBPQAKoTDlsS7i1U89dd14Kbcf1a0rnO/mr6py6i9eQ5SxqetzqStbPs4vQRb5r3u1Y5gHrF85vW15/G5MIRNamP6WN/NGvWcJGqsTx4901VXn5Z6OEedDnXr49a88n9Oxj0y5GjX5AWcupXuS5maal4n83n14KbcfwNB8pIppLvY1Ic/JusSlgIlyZYMFUPzSHXUe8TpvY1c1xnTfUvJqnXwfBrVX0H1r0wu133NNtSemErBVAb8/Z1YBv7SmghXwOGCfxuxRaf7Xpgh6gWUYhmGYsLACHg/WZMLUIUpWxVKVb78MclEzDTL+sPIdDVa+GYZhmErhLQwz+pc0ZW8Bl2PZRqWjsxavTZ9RshyGYZIhy367DMMwtmCrBbzn0WNG5S34YLKpcTKrgPfUdWP3orXO57Q3TIiRTcQNmIDaBzMNnzexzKTcPGzy7WMYhmEYJhysgMdDplxQRETXkpr8gMsdxCsEYJw0tM/G/FVVmL+qytkQ2tuWV4bBk+snftapO8mVEd1g5GNmLa536gcA9UvP17iqcKiu69jWLTi2dUtRxjf52J66bs/rqjSiuFqVghgdJ006OmvR0VlbdO08JuyB+8IsJu5z7hOmUjl+fJjRv6TJrAVcl9a+Fky4bJzxncu8uZNJijjDEvplkWQYhmEYWy3gm3f9r1F5i2pPNCoviExawMnSHXQMKRfP3XfQ+V61oXLctIkYN22irxwZCkvY25Z3rLe6iCHeyp04rNpyqDFddMaNjdx0467YXKx0lG+ve4BhbCPq3MAwDJM0yTq8pMD6kauBy8YBbydMUlnCDz71bCTZFF96zbw7gZ3656miVZCCY4s10lR94vD9LiVOerlSanxar7jvgD1jkmGC4LmBYSqHdPw3zJFpFxRTaZFpif/CvXdEmsC9kojoJiFJmywmF5CTlzDZR8fVptREVaWQlfuZYRjGJLa6oPz4398yKu/jf56sU0imFfAoxKVssi8tYyv9zTk8f+/9zrjnhD1MUmQpChK/1DOMGlbA4yGzCricFj5txE2ZVLfhcxcqj43jYSTHPFbFQKYHzPC5C131k49TnavzIKU2EI/lh1p4sqS0MAzDMOWNrQr4jx4xq4B/4kJWwJXEEXVEZznbzzdWVC6zFhXFq75kyQ+jONusZGetX6JiamXH757oqetG1ZTJmXPBYNeR8iKLLnNJY/OcrCJr9a00bFXAf7jTrAL+yTpWwGNhyfLCALrr1nRcX5jKJcsZGTs6a1NPclXOpDE2SvGjT9MHn2GYdGAFPB4yGYYwTPICiuZx160POcp31LBqSSZHYcqHMAqWnLDIJFFCQrLyHS9JKd9i35eiQLPyzWSZKHMgJzqyl+PHzf4lTSYt4H5Wo7AuB2zhqywqxSWFYaLA9wfDMDK2WsC7d5hVX5saks2GmUkL+PxVVUUWbLJqh314mFC+W/taXNZxSsxDKcUpvbaYbt3rTTzq27acDIj+F8sR6+CV+j3IQiCmLfdKLy/KsC2JS1Tlglc/CqRtDVL1Q5yrBpUGK9+lkfb9wTBMdsikBTwssxbXY/umQeNybUueU+7E2d42hJHk8cQw9sD3I8MUsNUC/v2Hzaqvn/5Qshbw1BTwV3/Z57Jkj378MVyweQV2tG8DADS0z3YdP3zuQsftpLWvxfU7hdUTITkyDe2zXWXsaN/mkiWX7/V59OOP4bXpM1xyRj/+GACgJj8AAEV1EstQXR9B1ym7x5B1JVfV6JRD/782fQYG1z+BFb9Z5sjLVTU6dZm/qsqV6KSjs9b1G0WKeHP8VABDWT4bB9e5zq3JD7j6QXw4yWEIc1WNuGDzCqc+YnvIljZVWElRzk037nI+H9u6xTmGXq7E0H2ii1KQ9V0eRwTJofalNqM2GHFgD/J79zn1be1rcfpfrCvJEq9Tbk+xPwfql6FxcB0Adx8QfmMq6BpVYTEH6pe57ok18+509YU4VsW+BeCMLzp296K1rv6W6yuWT9cMFNqrp67b83eRCzavcI0likC0e9FaR5bYtl7l0/diPeUQmvL9QveiKuQncfOTs13jUZarum5iwc4mdHTWuuYVGudy+xzbugW7F61V3t80pqi+PXXdrv4V7325PageQOHeaRxc58r4K9aX2hwozD/ynCYijx2/MK0iNDc92HS70ybiWBfbqLctj4H6Zc6c5OdOQ3MXtRmNW6/6Ul0A94oLjTGxHHmsyGOZfqM5g/pCnK9Vn8UxJ5ZBY8NrTMrneqEyQsj3lozYFuJ4lttddY/SOJfLDOsWqno2qWSI3+kYXORr8/pN/F0uV37O6kJzjFd7zlpcjxvOK9wHNz852/k/rj0ltirg9/7CrPp6xYcrRAE3bQEfN20igOhp5aOgayEZN21iovVivDFp6fYLnUXjEUh2TEbF78HJbgnZII05kGGY8ocV8HjIpA+4ioNPPRvLg4f8pnWO8yJMvcgSnRZLls90Yp+HRdUG/c0555pM+VGHrZ/ok75m3p2uOpXio75gZ5Onckrj8Z9qfxhKZlr+8i/l9uOl3P6i7/2U741d1ZHLM+m3Le5LqGSu/sx7cPVn3lP0vTymot7fWYD3ajBepP1sTYJK24Pw1nGzf0mTaQu4ieD960euxllXXApAHWJLTMQjJ4CQl4/9zq1UbEiCYkMdoqIbd5njMzNe41xUPOZsqMl0XHomOXhOYQhbLeD/PBB8TBg+o/Z8jI1MK+AMw6jhbIFMpcKGD4YxCyvg8ZApF5QoQfRLpaOz1nO5fP3I1b7LufS7XGebw6aRVV/X9YaxE1Y+GMKmMKBJsPToSh7/DFMBZD0Rj1UKuJ/C19uWx4gDezDiwB5lvGnRr1f+TY7RLf5P5/U355TK/YV778CFe+9w5HkppuJ3VI/q1hWobl2B3405Gxu7qh2f2Qv33lFUXzFGdxCiLFGOeG6Qv5tXWy/Y2YT+5hx2tG/zjayhgspU1S/ousJcd1RfPnnciH1PdaQy/OqjuydA1Z9B1ymPSXqBoz+xbYHicS9/1kXnvKDxSX2jGtdJYqpNZLwMACZ9S71k6dwfXte5Zt6drnGj6o+oxg15PMaFXI7OuApzPV5zOn0fh+EnzLgp9R4ydQ9ERWWoSrtOTPZhH/CIpOmCEtV3fGNXNa669pCnzDSjRbBfpzcm4vn69X2ccL8yAGfsZRgmPWx1Qdmw3ay85llm5QVhlQUc0LOo0Fuz6B4SZBkketvyTvQKCtu1ZPlMLFk+U+kaQlaQ/uYcfv3GB5S/AcDhput86yzXtRR3GtV1z19VhSXLZzpyZy2u93V1MWG1kq0yKpmyC4+fS48uYdqto7MWF3Vfg4u6r1Fa6IPqQ7+HVb5pTOnUncro6Kwtstwe27rFt46itTzMuBLPCUK25nvVh+rvtRKlS9jVB6/j/a7NK3KKTn39VjXCRmTxc08T/39g1/BAWWK/jJs20RmDvW153z6Tz00Ksa11VoZUfZ9URJe0LeBR5+usR8WIOj45MlJlkHUXlIq0gOuSReujmEgkbUSrXZAFOS0Ls42ICWAYxmboJfOuW5Obz3mDMcMki60W8H8K5yUbyOe8c4nFAivgJSC6smRRWWcYhmEYhvGDFfB4sM4FRQfy6RWXJeUlSkqwIi9bikuW/c0516Y3r7Ja+1owbtrEomNoo2JPXTcOrRlKyyzL6+isdbk9qJZNRVeXIGg5TrUsqbvk77ek2duWD4zwEiSb5JeS6MZLbpjlWHlDo/idKDPM8mZcy7rjpk10tVVQ29H47anrjtzGdJ5ff5eykbKUccSYYf3I1UbvwzTwqr/fNYUds7wpkGGyBW/CjEg5WMBNbO4zja1JZ2xP6mDDsnbaG3lNUIoLlInEWoxZymFMMgxTGrZawNf3m5W3dI5ZeUEE7+xJiN62PI5t3aI12bf2tWDNvDuVFg46X1c57m/OIb93H4DCRkrZD5nkNA6uw4gDexwlsqeuG1XN1wAAJtxbsPBVt64AAOc4svxVt67AQP0ypz6tfS1oaB9a61iws8kpp6F9dmAbiFaaB5tud12nq35TJjvXtmBnk8u32M9lRqUsqxR7+eHcU9eN4XMXOnKpTwvnNTnHUH1E/B705B9Oyp3YD0GIcuVxQ65DAHBs6yRg51D9di9a67QT4FYo149cjbE1k5zU7UuPrnRkE9Re+b37XNdF3785fqojVw6NKR4vvhhQnwKFfgirHIl12r2osGJz4d47HFnUJjLiOB5xYI/rtwebbnddN/U30BT6pYbKpv6W2woIVuw3dlXj1MPPBB4rj39qS68X2KD9DGJdg+ro95Li1ad0bxFe5wJw7sGgTL1edRNlH266Dtg5dK1y/XRf+JN00YtqGJET+Ij9JM5lfm1J1xlmrvLb86H7QhsUJUe+v9M21HjVVyfaj9e4TssNNGy5On0a9Vo6Omtx5kkv8n6qjFARFnBREQg7sMMo8rqTme3W4HJHfBjZtuExLYsjZw+0G7ZEMwyTFrZawO/4mVl5V19iVl4QFaGAM0y5I1vgmWD4RTj78OZ3hokfWxXw27ealXfNXLPygsjkJkymPPGKnc0EU2nK96zF9SXH+mXlO/uYVL7HTZvo5IZgGILHBBMXZaGAJ53qOmwdKIqEGLFFjlaSRMpuncQXYSJ86ERVCJOI5a5bH0o0njBjJzoRabZvGsT2TYMJ1IapFA4+9SwOPvVs2tVgLIPHhL1wIp6IlOKCEma5vdSleT8fcPG3cnMBsDkiRTmn5Y7qFmFzfzEMwzDZxVYXlG/1mpX3xflm5QWRSQWcGIpgscX5Lk0FhJbEV/xmmStiAQDkqhoBFDb7tfa1oHFwHQAURX7R8WlUKVuqCCQ3Pznb00rY0VmLmvwAABRFgxDlhIHqLm5sjEMxTNvvM+7ybdsYKlLubc8wDMO4YQU8HqwJQxiWnrpuDNQX0iDphO6Lm9a+FjTUFUILDp+70PVSAAAXYMvbx21zhSCMgqywA8D8VU3oWFQLoKC0Hdu6BSuwBduhbpdCiL3i73e0b0Pj3IUu9xI5dB9RHA6y8NJxweZCOMaeOv1rCrOCkKQCploBibt8GxVvojCu47nXvMJziUo3K9+MzYR9QeToNgwTHfP242GG5QWUlmULeBqI8VPLOXRbGMt12jFlS4E2fbLvOZN1KENskjGAadXPFn98VmgZxjy2WsD/30/Nqq9f/hgr4JFI0wc2jPXWy0ISpv507I72bZnzOy8lU6K4mTNpS6jYb+wGMYQNbcFKFxM3NoxzhkkLVsDjwaooKDpRNbyO29G+DTvat7mOEf8IMdII/eYVgaSnrtt1jChHdtEQ5ajqR3Lmr6pS1mvBziYs2NmkFQmFjlUp3/K1xBldRb5OrzYUv5+/qkr5INPp+2Nbt+DY1i1OVlEdVG0h96k8DlTniHWOkshJ/Kzqf9Xxch1Vx/qNOdXxXsfJUXpUv6nG0kD9MpdcsS2DyjSFl/Ltd++HJSiSj6n7zK+tgtpRZ0yZrA+gf90qOfKYMz1Xhb1uuXyxPcV7Pu7xXCo21i+O/pXReR4x5cVbb5n9S5pMWsDJ4iX658qWVR2LMsnxO1a+qcl/W1T2CVKIyVoinkvnUb29LNdhInyImznl6w6yjvuVE9aiSNdJvvhiHcTr9kOnzFIt4NQvYspuUuZHP/6Ydrurxp9XXQfqlxX97mdNk9vBb6z01HU74zDsSog85uVrUV2bTh/JG5HTWKnQSRluGlMbZ8U2Fvtep+295jGdFbqoK4i655m2IEdNN580ftcdZ+QseTxmpb108EpFP2txvTWuUGljur9ttYB33WdWfb32MnZBsZos+ztXKqW4vTAMwzBMJcMKeDxY5YKiS9ByZpzM2VBTpHzbuORXDsh9Skl9/NyGVHi5vUSlEvrbr32TutcYxhbiHO9hkpVVKjznMCreOm72L2kyG4ZQxs8P1MQyjOy+ILsglFsiHlOUsjQv96mjRM+7E9hZctV8KcflTF13gSB3BzkMJrnxqFzBbELMsJlmqMco7h6q+YdJjjjb28Z7xTSluiDxeGdUpOO/YY5Mu6DYFA1E9vcWfcTJTxso+ASLn+VJScfXU8e/SyVH9pn38pWN+jKhOk/XF60UH1emPLBZeWcYhqlUbHVBWbvZrPq6YhH7gAeSZNgxVvoYhmEYhqlUbFXAb/mx2dAl1308Wa/sTPqA+0EK88auaicxBW2cVLGxq9rlX9bfnHMd/8VXb8IXX70J46ZNLJJDx1IyF5lZi+udqBBymV5+f2n7Avq1VRCqa7UBautZi+vR25a32p9QdJMQ/w/Cr990rnXJ8pme4ziIjs5ap65yKDyS29FZiyXLZ3reE0y6rB+5GutHrnbmTJsJGs90f6c9lzLZwubnAqMm6z7gmbSAx0lUi/f6kavLMiNmUvQ357Qjy4Q5Ni2iZknlcZQ9TK7IZS3hC7sNJQMnm2LSxFYL+Nc2mbWAX7+4Qi3gYawVqigUsuVaJwGIysJYNWUyqqZMVsqRjxd/e+6+g0WyyAovW7yTiKJRahlREqjoJOLxIi6FmhRhYKhNwiSv8UO0/MqMrZmEsTWTPM81ZW2h8VXKygUQrr/F1aWw+LWZTClW+TiRLfgmFaOsKbKmIwwljekIJHFZUCtd+S5lzhFl6MKW8Gxw/LjZv6QpOws4bQQ0ZZmhG3H3orWuyAlBFgmv301YMuK0OpWaKt7Gh7FXoiBg6MEWpV+8VktEWXKbBJUjbmQNGsvidQRtRNYZr6prSQq28NmB7f1gKtqUDdcZJiEXEz9pz4E2Y6sFfM2//K9Rea2Xn2hUXhCZVsD9sg0miZhZESgoSnKmSfnmjkOJFstUTe5imV6Tf0dnLS7YvKKkSYiXpRmGYRimPGAFPB6sigPe2tfimbpcTLtNlsxcVSOAQog7WtZ+bfoMJy43QccD6lTVKoWR0rzTscPnLkSuqtEzfvCO9m1YI1o9heM6OmuBzd1S+Qtd51Md/MqgdvCyrornlaL8Dp+7ED2Ibg0Qy9ZVxuUXFhW6bSSfQ3Gqxf4ECtd585OF8bbiN8uc76i+oquBGBNcrAdQHFO6lJUAsX9pzNPLpTx2xftFtoD7pTFXWdfEF0T5d7qXRj/+mPJaqU5rzxgKr0mp6AlqK+KBXcNxce0xAIX207X40XFe40ocR9Q+Yj3E/tYd27MW1+Pi2mOeY07sb51xHCU2PrWzXGdVO/S25XHzk7NdYzbIACCO6Zr8gPMbvZCL50ahp67b6YdcVaMjE4Crf6hc0aghG1jke0Q1Vgldw0yplvUoRocw84TOsSoLruq+6m3LK+euSs1lQW3rdU/EZUjSmSsYfzgOeERMWsBF0rC6kqJEytDwuQtdih4A5+WBXg4oFrh8s4vfeaEzMUS1gJPCGmUiVilHchzwUpb5eInQDpJe4dBRPnjVhYkTW93rGCYJbLWAd3SbtYDf1MQuKJmhnBXCcr42hmEYhmH0YAU8HlJzQQlKrSwubQ+fu1C5kU3MhHlR9zXO72+On+q4HUy4bBzG1kxyljmPbd3iRDmZs6EG/c05PH/v/QCAs664FPm9+xw5w+cuxKE1awHAkaHKHikurwLAiAN78Ob4qc6531vwU8fFoWrK5KIy5GXfqASlT5ethLQr/KprDxUd60SCCZHyXV7u7OisxWlfKbRLUGi93rY8RhzYA8A7Igot3YfxURejg+T37itandjccBsA4NO//4arX2T54nKhlwuH+B2V+/y99+Plr27x9M2XlyHF3yncohjSkOTm9+4rSgkvXlfVlMnOuJbbvqeuGy/l9gMojOvdi9Y640/uA7+MqUuWz8Rpl5zjrPysPWNdkVvJ7kWFe6AmP4BcVSMe2FWYciaOH4kJp73uyKrJDxS5UdBncVyXYokUQzx2dNY6dQLCjSmC+iJsBB/Z3UNs347OWly49w7nWJLdU9eNqimT8WDT7QCG3O5US9hLls/EXbe6DRy6YTFVLm7iPOHlSjJ87kKMOLDHqa94r9K1ebWDjmuF6t4CgEemXO2qg+im4xfS0y+UKZWn6yrkNybJfUklR1UHuZ/86uA3/sh9buXJ33L9Ts87nVCn/c05vDl+qvLawm4SDXO8OH7DnCfeD0HPQhvcP8Tr5BWWaLyVcR+UTFvARX+/tDdhyq4XsuJCvx3busXlrgKgyM+XKOWGDHJBCVOW7iSo8qULY0m32Y2AoxLED6+6MAzD2IetFvCvfu+YUXlfuTJZm7RVmzD96G/OOdafCZeNw9KjKx0/agBoxJCCSxvUgIJi7rVph6yuZPlcsLOpyAIhhnrzsyoCbsW2oHwWvp+1uB7zV9HbeBNasc1VhzWCwiErn+OmTcS3Tu5w6qeLSomVVxHmryrIK1hSvK14YRUiXQVatgAFvQSIqxhffPUmAMDBp54NLIfGAo0blaK3fuRqnHXFpS7Lr1ifoI1NUZHbQLVhkqzVS4+udL3IqTafTbhsnHOs7H+vgjZeeVlIvTZxAcDVPzoP3zq5wzWW5c1dYZRqnWNUVjmv/tjYVa1c3QnLuGkTfceZ2Ic6Y4Pa73djzlbWTxUmUy7Hq55A8T3R35xzzXF+mBrb8iplKTLFWP7y+PTbOFjqtZh+IQwaR0CxVTvqKosJTIZmDTMGmSHS7H8mfjJtAS8HspDVMcsELe1FiUjBMOWKqZeWcsMGlwWGSQtbLeCrvvumUXlt/2eEUXlBWJMJU4VXtsCgLFVydBRTWa38MgXqZveTSVL5nrW4viiLn00EZYeMkrVO9iuW+/CmG3e5/LOJtNpJ9/pszNQW9R5ICpvHvhdhMod6ESbjq6x8q8qm+zSu/jaZmdIUaSvfNraJiO33PpDN+5/x5623zP6FYWBgAAsWLMDpp5+OYcOGYfPmzaHrn5oF/I1N3zCqfPotF/otpYVZZtM91m9ZlCzeppc3gzadANGWVE1vDjG1JK2ziUh1rHg9Ktck0W3DxOpEKcvg60euxnP3HUxkf4OOuwqgdo/QPTer2LJBSrUZMe3Vs0rx2+c9INnEL9BAWmTRrcRWC3jbRrMW8FVX6VvAe3t78fDDD6OmpgaLFy/GT37yEyxatChUean5gIcdfOLDhpQqmvyrpkzGI1MK0Rawc5dzDAA8d99BoG5ow6OoHBd8wCejY1Hh7f3CvXc4Pt6jvnY7rrr2kCOnunUFRhyY7EQF6W3LuyKkAHAiPtwEd8xrMfLGnA1NTkSDQn3d1xl2qXPoZvZvowU7mzyjZni9tABw/MT9oGM3N9zmir6wfuRqp21eyu3H0qMrPR9iYZSJ6tYV6KjScx15+atbgBvFMbFCaDNx42zh/xHNhWg6jePzmLNKXR+dlyia+A/jOmDn0OQvK3NyxApxbDx/L3BR9zVYs2HoN7ksL99t1UugWF85UVXV29dNZcnn0HmHm67DmO5bnGu86tpDTjkUWQSAExFDV0FbP3I1qlsL0SwoiQxZrG44b5vypUmso598VR28xpuqPeWENFVTJmPOhhqnj4HiB3zUB/+S5TNR982LAcC1J6FQ3+I9KiJem5jF/RPyb9SHVN8x3bcE9pXotnW46bpC/abc53v/+r3E6Nz7fr7F4rlicqrdi9ZqJ/cKesHavWit82xJ48WnFNegOF4eTMiMUzmm9hJl67ZhGANPFOIcOzr7DMqJlOzHAID58+dj/vz5Jcmw1gfcb+ONfIxsJQyb0Uv1RqojQ97c5/V74+A6zwnepPUw7okjCmEsZLrHmrRIRrHgebXzkuUFK4EcAi4qqnByQWMuClEz4Jl+sOuEyisnS2SSKxwiugqkapxTnQGUNOcmQZorBFFXBnTDRTLJYcsKWBRM3Ze2WsBXbjhqVN4/fPo4jhw54vpu1KhRGDVqlO95w4YNi2QBt1YB18Gm5U/xJlVlk5QVbT9rlYnrUd14Yh38XFZKvWlt6heGYRiGYaJTKQr48Bf+L1atWuX6rq2tDe3t7b7nVZQCHtZvm5aMo+C3RMmKJsMwDMMw5YytCvhN/3Qk+KAQfOVKJGoBTz0KSmtfS6hd+kCxwiu6q8jsaN8WqV7E/FVVnstP5FftV74OFL/XNOQSkQVEf1pGTVCkgfUjVzt/4meGYRiGKTeOHzf7N2rUKJxyyimuvyDluxRSV8DXzLvTcXdYsnymS2nob8650g7LYejo97E1k5zf5HBNa+bd6UoxLm4q29hVjY7OWt/wdhRya9bieixZPtMVKo/quvToSqwfubqoDnTskuUzXdfS35xzfutvzrk2TegookuWzyxSrvubc64wS71teTyw1b3hZNy0idrKvo7yRu1Acun6NnZVO9dB1x10XacefiawTiR3Y1d10djwQu7X3rZ8UV/Q/+LYkENWifWn4+W+VoWMk8tfsnym65hZi+td46a3Le+0Z09dt6sPLtx7R9F10+eeum4sPbrS+RM/+0EvvzohHnVCjVF95HtAB69jxXJ1XijE8edXT6/v6beg+0Uci2HuLT/E8Sne4zrzgt91i22rOka+h3XRvW6VMUAec/RZpw6qsSKP37DXoksaIQHDXkuUkK0m0J2XGYbJqAtKEgxls3S7mYifxYnGz8WFkzgwTPbIWpKmNEKu0YtqUAhUhmGyi60uKDeuf8OovM6lJ2kf+9prr2H//kKW6hkzZuDWW2/FRz/6UbznPe/BuHHjtGSkbgGPgo7LiujaIh6v6+5Cbic72re53FjEcH5zNtQ4f6LcIMtDWJebLJOWJUaFjclrZKKMVRVhrzWKK1i5IyZpygJy2LUk2L5pkJVvhmFS4fjx40b/wvDLX/4SM2bMwIwZMwAAy5cvx4wZM/CVr3xFW0amLeAmNkG29rXgou5CDGSVFVuMHCJHB7EhAYnYBmHCJWUxtBKtODx/7/2hwnT5hfYy2YdiOMuoUW5sCSVJbgVhY8p6JZkQY8ID/vesXyxbU6HldDZy25jEIwo2jCkb6sAwTDRstYDfcKdZ497NLcnqRKkr4LyEyTAMo0cWs+gxDJNtbFXAr7/drAL+tWuSVcBTd0GJsoTptxlM5e5QiuuB7sYmhjGBLe46tlLp9xu5vDEMw1Q6bx0/bvQvaVK3gJeC7B5C/6dBa18LGgfXAQByVY14bfoM57c18+4scknwclGI0zVELNOvnFLrIJbDsdIZhmEYJrvYagG/7rbXjcq75fPvMCoviNQVcC8FzU8JJP9N0RoWpOD5KeiqOqjK96qTlz+pXxKfIJnlAivgZvF7kZu1uB4rfrMMALe3SFbHoDg3lJKdNsy5Or7xOvNaUpjKHFypcIQuRgdbFfAV3/4fo/LWfuGdRuUFkZoCfrjj84EKbyVBD7VjW7c47SKni5dDIw6fuzBzbeb38A76baB+mfM5zY2vTPqISrV8nzAMw5QCzylubFXA//abrxmV940vjTYqL4jULeAMRwiwibRdmfzY2FXtJCzyevHyi/jCMEw2YUs/kyasgMcDK+AB+Ck0QREJbFqqNUXYBwFHbQhHWitBrLgzDMMwKmxVwK/9f2YV8K4vswLOMAwTO1n0f6WU7nfdyvOnTXC/MOWMrQr4snWvGpW3btnJRuUFkXoYQi8og6IqkyL5f/Y355w/kY1d1U6IQPpTHSd/J27qpFCH4jFeIdDo+47OWleIRLFsv+uUwxzalD0ySfyuW/7eVBt5yUmr/f3GCv3e35zzrJ9qnAfJC3utcY1Pnbqr7kGvc4JkhVW+o4QdDdMXBIU+FecFau+7bn1IW8mjfopSB7HMoO/8vq+UUK1h+sWPrM/9Wa8/wyRJZi3gQZskRNcH2W2CJoirf3Re6Ex/ogwbXEvCuLlEyW64sau6pEyAcv3SSLwUJgpG0m5Dflkfk8R0pBCT90cSbWQqw2bWyXo7sK8040c5uoUmga0W8C93/dGovP937SlG5QWRWQU8DKWG8AKAhvbZRRO7zRv2GIZhGIZhSsVWBfxLt75iVN43l7/LqLwgrHVB8YMUX11kBXn9yNXOpjOdc9fMu1NpVaHfAM7QlyRemUmDjq2U5fCkCXM/MQzDMAxjoQLu50MmK1Cyn7f4W2tfi+tPPGfp0ZVOtAcv/8ieum70tuV9lTby0/Ra9lSdS9+JPp5JKYVp+OfFoZyFcYmhsH0EJXDqqevWqpfsixsnNN4I1YtmXC8RXnL7m3OBZdL9pBpbab70hPF9tv0FIqofNxHUD/R70PwQtA9Gt79LvR4dwhpqbIY2eTKlodpnktb8JO4XY6Jx/K3jRv+SJpMuKKW4lJiEXVAY09gythmGYRgGsNcF5fNf/4NRebf93buNygvCOgs4IVq15TfFi7qvATBk0ZXfYFUWS9ESLkcrUVmG6VjRAkqbGAlyQemp6y6yUGzsqnasv17RBChCgfhGLpcRlaSstiKq65y1uN7ZeBmEvFrhRX9zDkuWz9SyContKY8jU22tQrd+wNBYWLJ8JhoH1/keq1rtITZ2VbvGsq71PqoFyM+CQ9dO9VG19bhpE2PtA9PEVV+dsVJqufKcp1NOmMgmKgu4KattGDk9dd2uftK9boZhmKTJpAVchekoDkmjU39ydREfjOW8m1vesS4+9NPsZ460YBfcH0zc2BL1imHSwFYL+DU3HzYq7/YbxhiVF0RmFHAxXTst0/spraJP51lXXOqE1lKlffeTQ78Nn7uwaAIWfzu2dUvR+aRAqn7Tuc5yII5MmFFDpWXhJU10QQkzFkoNFym2TZj2Fe8z28etLS9wUZO2RH3REMdRkmEvlyyfyYlpGKYMsFUBv7rz90bl3XHje4zKCyIzCriNBKXvJneKCZeN8zzGVusd+7dnD7bSMQzDMKZhBTwehidaWgC6G9Ba+1rQ0D7b+Sy6ZZACIvsSk9ygMsJYSUmp7qnrxvC5C12/DdQvGyrzvhb0tA9Z33a0b3N8feevanKVqyqbfBhr8gOYv6pKaZWXr6u3LY9cVaMr25/ounLzk7N9k+GEUbxJ7kD9Mox+/DGnzN62PI5t3eK6Li/FXudFROV6o1I6RVliHaiP6HPUFx/ZFSjMCocOYnvq9kNrXwvmY+jYuF7s5D7oqevGjvZtAMy9rM1aXI+La49FThOfhZUOJjomNyrT3Bo01uR5xmRCsTiTw6jmAZMv6rrtlzU6OmvL7prKkbdSiFxiEraAh0S0evODnjENW7EZhmEYm7DVAv7XHf9lVN53bnqfUXlBWBMFhZRZv0gYclxvVZxv+Vj63ytiSljEGOILdjYFbpqs9MQvupFNdCi1D4PqoVvPOOMLq5RvVRsmHc/di566bqd+Yp3ke9TrXLEvdeLUh71uOQdAKfdkHPdz0Nzld1yYOukel2TEkLhj2vvdp6bLTSPHghdB1+aVm8JU2TY887IWA96GNmOSp+Is4GE38Hm5TIhyNnZVY8+US7WXRW31+64UbF25iDI2TS3Fs88/wzAMo8JWC/iSf/ydUXl3/cOpRuUFYY0FXIeob9fiOQ823V5krfCy0vmVNWdDjXNeKdEnguqQFqYsOrZYRFTY1N7A0JgigupnUlmmmPYqbBubTGUhzx82jkWb5zkmXmwcj5UCZ8KMSBQLeBpWOr8yxRuPLYeMaXilxAxs3a9M+P5hGDPYagH/3KqXjcr7p7bTjMoLIlMKuIyOAhxmmd70hB0UppBhGIZhGMZmbFXAm9v/06i8De3vNyovCKvCEIbFtEXLtLWEFW+GiU65hjiLIzkVkxxsWWcYO0jDbcQkmfIBJ1Q+V/3NOefBRseY2KRGvn1ixj9i/cjVyu+DiHKOF/J1lzOlXmsWfPWyUMekuOnGXdYq36VEC5mzoYaV7wzDyjfDMCZI3QUlqn+mnPxmoH5ZJDkm6G3LY6B+mZNch+pCn3NVjbhg8wrneLneYp3lJDKqsHR+iRvkpD1eeCUamLW4Hts3DSqT3gRB9RXr59e/VJZ4LhMdk1FRvEi7n1RjjGGShsdfAW6HysBWF5Sr/uFFo/I2/uMHjMoLInUFvBRMbYLU2WgZ9jf596Q3giWhjNlQZqnwBr0Ctm1wZphSyeJ8xDA2YqsC/n9u+q1Red/tON2ovCAyqYDrpIkV/UfXj1zt+GOHteDpKuBh5KZtRdShHJWjLKQXTktpsDU2OsMwDJMurIDHQyYV8CTRiWTCm3IYhmEYhilHbFXAr2z9jVF531tzhlF5QWRyE6ZqI55uIoSwyWXG1kzC2JpJyt9oE+aCnU2hNgdmIWFDlA2mtl+X37iJmuAp7HlBx8ttvrGrOnS9ohB1Q7GIuDHR9rHAMAzDZJvjx48b/Usaqy3guj7WjYPrHJcOWsKXz521uB4AnE1/hJdbAlm1RTnipkEddJb143ZHKUdXkrDQS9dA/TIMrn8iVB8mTZALShz9maUVnCy4EaVFVDeiMG3qNT5pDLErE8OUH7ZawK+4sfQs5CL3diZj8CJSV8Bpwt69aC1emz4Dox9/DADw2vQZRdFBiB3t2wIVEHGDZkP7bOUDoaOz1lWm/BCi6CYifnWiqCfHtm5xldfblsexrVsAwFHq6dhSlW/xgRf0IA2zY91L0dMpg+R3dNY60V9MKgVhFUZ5LOxo3wZgyHcfGIrYIkauCYok44X4oiYrLPILl/iZxpt4DzQOrnPGzvC5C51j5RdErzEuHutVBzoGKPRTmAg44rHHtm7B2jMK7Ve/9HysmXdn0fisyQ8EypVfdP1eUv3GSW9bHrmqRrw2fQYAd39Tff0iDokv7eLvcnua9tv36lPdl/Wg41T9IM5lcSnPVAZFgZKNJmGUd9X85BchR+fFVb4HTLR1EB2dtXhgVyEdx/ZNg55tEHaMURvkqhq1X65Mv4ibipAS5aWb5tLB9U8AKL6HRUp5edSZW8PUWXwWmDLMyWMsCrYq4J++/qBRed//2jij8oJIXQEvBbbuMgzDMAzDxIetCvinrjtgVN4PbhlvVF4QmfQBpzfrNfPudJRvSrwjHkPHib6/Kt9U8VgZ8o0tJfFGGEwl6eGELsWE9f9Pg7SSKsn3D5M9vPz4x02bmEJtGIZhGD8yaQGXlyzFxDZhlm1omadUS3prXwsa2me76gHA5Togfy9/JybvEZehROTlYvm6xaU61fKf7rKk3/KXapmS5B7bugW7F611/UbL/3RdXsuSstuDatlR9OVuaJ8NoLTlwqgk6TMdZuk5qUQ8xPxVVVqJo6LIJvmyXNVycVKhG9m/uXIRE78FzWNh7gF5zja9HyipkLdZCK3LRMdWC/jlK14wKu9f1v6JUXlBZFIB11GAxIeleLzqfzq2asrkohTRZFEaWzMJVVMmI793n/PbS7n9AIDq1hUuf1K5frJ/ZZyTFVlQg1Jd9zfnlMfQ9zrhF2X8+sWrvCiElSW2v9zHph6kppCvTYxhHwbdl4QwLxM9dd3Ke0REHjdhlFaK+HLVtd4ba8LWt1yU5VLGo7iqYuoelGV7yTVVtjyO/ObsrFBO4zOISrrWcsRWBfyTf/u8UXk//MZZRuUFMTzR0gJYP3K1E/JPZWU9tKZgXX1JsUovK1K00a4V27CjD+hpx9vn7nfOofCBb44vWDbmKB5wVJ/di9a+bakoTPYbu6oxFrcAKFh+d7RvA+Y1OWWIGy93L1qLC/feURC4s3D8+pGFeiw9urKkDVDydfs9jMiN5rmX34E5t6qPofOd0Is7vcumSZXqMOLAZGDnkCJ1+uP34fl77wcA/Hb67QDM7FguvATpP3SpTdePXI2lkvVUVGrEfpi/qnCOmNCJUG32khVlMXygqFBu7KouUjBFOYX2qhmqryBTpYR5vUD4jSPxYSi2DVAYj2I5okvDgp0rsbGpGr1tzwAYWkmhY0Z97XZcdW2hvvQiQfcbKe+EOE6pTfwUb6JqymTfMSkyfO5C9ED98q36bBthN595KcNzNtQMuRdJKwXU11Gt+0HKL/1euB8K/dtT142XcvtDvVjK9XI++4wFkysjS5bPxF23lr5vSby3bBt7cd4Ptl2rDlE2karmd4bxwhoLOO1a1t2lLn4Wo0OI8gAEyvSjp67bFTFDroOonIytmaTcuS6eS0S1apqi0pcLbd68K7tbBCkqYRSnMNFNiKhKjC1pwMtlrJMLRFzXEmXFK0106mty1Y2pXNJ+XtuArRbwTyx7zqi8H62bYFReENYo4AzDMEx5Ui4vQgxTidiqgH/8b/YHHxSCH/9/6qSLcZHJKChEKVkM44AiSajqJEda8Yq8YupaVBEt4m4rKlMsx6b+YRgmHVj5ZhiGcZNJBZx8HRfsbHL++ptzReEGxT9SeEVlkPx0/ZRECu3V35xz+fWSLPrrb85h6t77MXXv/Y6vK9Vp1uJ6jDiwByMO7HHKm7+qSvlQEv1kvdjYVa1MUS5+R1FCRA43XYfDTdcVHStD9Q4KiSe/QFzUfU1ROdQ/JhDbWhexjtTH4vXRuKDj/EJSEmHKD5tKXhyHOi8vOvXVLVfnRWljV3VRmaqxQp/TfAGTQ/L5tVOaL4k691pSZWQ9VKds5LCZtEKOMky5cPyt40b/kiZTLiiqDXFemMrCxTBMAZvSwJdzSMAoc5ecPdSEzKyT5D6ESmxfpnKw1QVl0Rf2BR8Ugs3fDjaAmiRTFvCbbtyFm27cpXSv6OisRUdnrfPbQP0yJ7a2bFXUTTqiazFjFwtvTFpAqY/DQv3d2tfiOr+1r8WYBdmUtc3mZDgq5TstNzDdlRVKJx+ETfewanWMxoXXeI2aYlpGdX/5zZdB94+JsSGX7XePiPd6knitaGYJm+6BuJi1uF57TmCYuMmUBTwNytnSxjBM+cBW2GzAz5TyhhR8Uy/FNmCrBXzh539lVN6W284xKi+I1BVwemj86NV5RuKsMvHCcU6zg1eYzo1d1RjTXYhhX2lKQNDD0eYQlWnAIdiySdbCSjJ2Y6sCvuDqPUbl9dwx1ai8IFJ3QaGlO1n5DrOkH3W5kcpQLaPTUqzXcqbKrUVVL4qKolOPLBBW+Y7DPcHk8nJSkWG8Pst4RcaJUkdy05Atoldde8jlwmFq/JUqJwlXlu2bBn0tU2vm3amtfHtFO4oDKieMy1Sprhi9bfmhhFxSPVTH0u+V4MpgO0uPrqxo5ZvHoJooLpxMfFhjAR9xYI9v0gQxqQJl7FJtyqSMZXLCHDE19vC5C53jg7LA0QOsoX02hs9d6GS3XLCzyfmtcXAdDq1Zi5e/Wvjtgs0rpAyR7msT6yAmXQGSS63sl/WMkiIBxZZAcSOeTuY0uq7DTdeVbDmnqAFvjp/qytQoP2hkKz2dl9+7z4mYAxSy9In/R0lUI5Zhot9a+1qcaDKURdQrOywwZOl67r6DzhgFCtlWvfpGtYrhdw9QJJc9Uy5F4+A653vx3gFQdH8AwanKiTg2zAWNcVUf69Y3LuS5KqgddTemB7k9eN0TtuJVx3HTJuLgU88qz8ny6l3YLJV+/e3XRnFhQ9bZoFj0NM9ldYzEia0W8L9Y+rRRef+6/lyj8oJIXQGPQhjFr9Sb3m9Jmn35GIZhGIYpZ2xVwD/2108alffT75xnVF4QmVTACdmyWSppvKXbENqN/TwZJjy2b3q0vX4Mw2QDVsDjYXiipRkmv7cQA3JH+zZgXumKc1TlW3RFIciFg74XP4vHzpeU71KW4sVzVXJEdxqRBTuHlO9Zi+tRv/T8ofq9/fDW2ZxGZYrHmtzUxhvk0ifO2Mry+KT70YblaxW2K7a2168csXWsMkw5kkbyHJNk2gKeNqwQMuUKu1cxDMMwgL0W8PnNu43K691wgVF5QaQeBcWPpHbUe5UTlGSEIiYEJcnwKyNN0khYkTS2tbkfQXVN6lrIiqejfIv3iDiWbGz3tJIGmaKUeke914POyXJ7+lGO11RJcP8xWYAt4BVE1n1CRWUg6VUH0fXCBr99hmEYhkkCWy3gc//qcaPytt4z3ai8IKzzAReVRK9QU619LS4/5pdy+3HWFZcCAB5sut1llZ5w2Tg8d99BR3nqqevGS7n9AIBRX7sdpz9+nyNHLGf9yNU464pLHT/zw03XARgKUdTblseIA4Ug8Kpj+ptzThi56tYVjtz5q6oc2VTfhvbZqJoyWVmPsMgWeFHZjqJ4B4VuAobCN516+JmiY2VXBq+XAJ1ypu4ttOeY7luAnfr1P7RmrfN5bM0kp/+BwhgACn0mjis5bKKo8NfkBwAM1VVV96jXKfqQrh+5GtWtK1zHi5YdMdTloTVrsfToSueeef7e+z031sp+qrJMOeSn+Jt8LWLbVreuwO/GnA0ArvsKKNwjw+cuRK6qEQDw3MvvwKd//w0AwCNTrnZCd4qoQuyFCfcoH9tT1+3co0C4cGN+L10dnbU486QXQ8tU1ZG+A4rngaAwenTeI1OuBuButyCXIlUIzv7mnCvkJ1C8YVs3ZGFvWx4/enUeAOCuWx9yzY8UZlOcP8UQrrJ8v03jFJaToOPk+46eA36bz20Kx2jqpZ/muFJdy7K6cV8VatCGa9F5/jHFsA94REqxgMe5EUxVloioyO9eVFA+2BqaDZIcNzaiGzO6XCinhxq9NEVdxRLPS3IFh/cSMEz2sdUCfslnHjMq72f/PMOovCAyqYADxYqxHDkhaVr7WpzIIZSMZEf7Nqdu9L9onQcK0VDmr6pSWqC8dtSr/MxJBkVbIble5/klaqGygaE05irlTa5fb1seNz85Gzect82pkxghxpQylKQirVJ4KlmRTyLKg6w4i59nLa7H9k2DrNgxjCZJzFcc/aW8sVUBv/jKR43Ke+B7HzQqL4jMKuCAOwsgEWWiITmqZSgxNJrfBCNOcjQZieeS28PSoyvR2teCCZeNA1BYfi1l4hIVEbEOQcu0oluODn5tJB4j/y5HivGKHKPzkKBrFZeOdc4jJVp+MVoz786i6wqj2Hm1iZ+bBJ2jym6pWh4Wlc84l0p1Ivr0N+fwYNPtzmfVsV4uADrojDHGGz+XCXFci8oS3T/c9v6I7mlpKJqmMu3aTpQ5Tnfspu1qUuqLkM6zSacMUW/SrY+tCvicT//SqLz+7/+ZUXlBZFoBjxOVnyy/4dtBHH3B/csw5uFQrQyTfVgBjwerwhCSBccLCqUlhxhShRzqb865/nTKUG04ozBb8mfxf/q8sava2eQh/i67jPS25YvqxeiHNIuqKMuyxfYnmdQvS5aHn3A6OmsdV50w53ihGsN+ITN1EccfKUjyuNZl/cjVmQlFJ/a3V7hQ8R6etbgesxbXA1D30/qRq7F+5Gr0tuWdvhfvf796eN37fnXUbeONXdXo6KwN1S9+IVRLgUK1lhOm2imO9hZlxylfVR7DJM3x428Z/UuasreAB0UOYBiGYRiGYdTYagH/6OWPGJX3b/9yoVF5QVgXhpBQbUokyCJN1qI3x091HdvfnBtKUz9lG3raZzshrsZ03+JYOzs6a1GTH1BuDpRl3/zkbHzuI792wqvN2VDj+FKN+trt+PUbH3BtUBRDk516+BlX/Xrb8k64tlMPP4PfjTk78kuCGAJQlCO/eIiWuauuPeSKhCBHRfB7aVmyfCbuurXw8iT7JaqiK+hGbRD7TA4BKF+D2NZekS7Icrl906Dz3fqRqzHqa7c7/SFvLt3YVe307yNTrvYcGzrXRuV/7iO/xj/9/EynHjovhKK1VW5Pnc2xKmjzIkHjm8IDEnQtJPe0ryz09JuctbgeK36zzLUiMW7aRADAwaeedZUj3qOEKsRcEBR9yG8zMFGq32zcUWN62/LOvgSgsAqzZPlMnHbJOQAKYTfFsKe64UBPf/w+13WLIf+8+pKuVWfMU7+JIQpV4U/F9pfHnynEMvxCOj4y5epQ/egXKSZOo448p6jC5jHR8dsn4TWfV4oRr1Ku0ybKzgIub7QIG/dU3tDh58Oou0GTsRfbomnIm2ji9k1n3/dskPYGsqzA7cQw5rHVAj7rE2Zf6rf/qN6ovCBSU8Bf/WVf5LB0rX0tGP34Y6ESTcSNuEt++NyFLsvWjvZtTohCChMo76j3s/jLqN7Ue+q6XZbMgfplWDPvTtexYjQQsqB6yZbromPJVsUqlvvFRD+lrTTGXb7NGUuTiK3tV0ZQaE4b24zJPmnPOaUgrrTEdQ3lFHOfKcZWBXzmx3cYlffQjxuMygvCGgt4mAlOdSwtoVJGPa+Y1+JktKN9myujphg6cM28O9HRWYvXphcCsw+ufwIrfrPMUXJzVY24YPNQhsu1Z6xz/lcttcrL2fLnKIqpatNoqVEHqG2juDb4hUCSl6CTSgYya3E96peeDwBFcdrltg6TXEl3ST1s6Cl6uQRQlB1SLpNcQAAUvVDJYTHF38XzdF6M/LJhkjygMO7luO86bjoAilxZvOpAx9C5N5y3zfPBr3KRITo6a/HAruFG3CJMKmdhZcnhBel/Gbkf5M+ya5OqDK+X9qiIco9t3eLMods3DXrO3z113djRvs0Z2+I9IceIB7zHt187h5mbSnGt8VNa6Tca50H3B50DBOd4iBoOT9Vmui++qjLFc72eW0HPRb9+lH+L65mjKzepl7hSXoZa+1owuP4JAG49hhXweLBGAQf0Bw7dzKIfq1fs5KDJplTFn74Xrd4qxY4Ud/KNFH1iS/EBt50wlskw/uJRfHuDHgJJYIOlSKwDJU/yUiJUbW1bRs0oSlDYh2GYfovax6UqCLLxQFdWGN9Pr2uzYVwzwZSiRIeVy5QPtirgjX/5C6PyBn7y4VDHf/vb38bXv/51vPjii5g2bRq6urrwkY98RPt8axTwJctn4tO//4aWYqXy86PNKkeuvwZLj650+XKLm5BUiW/EjS7yGzc91C7qvsa18ZIS6gCFzVLyxicR+eEkhyATNzOJlLqJLOjBqtqQQhOpuMHUT0bQg1d3E1GYB3gYhWFjVzWOXH+N6ztKglM1ZbJz7XEqEEH1pY2LAPCtkzucl7URB/a4Xi7HTZuIOz7xJIDih2VU33H5PPne2thVjTHdtzifdR+ydM00xn47/TL8+o0POL8/9/I7MHNcYaPmQwcnYtGOz2vJrgRFT3XPlHrdfpvPROK+D4Ch6/IyoOigOjepsSHeW2E3rkV9ySrl2ipRORaDBTDREMeqrQr4Rxb+3Ki8n2/RV55/8IMf4DOf+Qy+/e1v40Mf+hDuuOMOfOc738HTTz+NcePGacmwRgFXTTBeb+bkRuI3qXgtucpRB/zKAVC0pK6ClkXJxUElS14qFi3iuoRZUvObdIMsHroTttxnpMzpLouHJcqmV/FaqL6iHDErZhR3EVV9aDyQXJ06AsXZTOX6x4nOZmPVb15uJHQdfmONfstVNQYqJaUsdXvJs1WRj2qR9Dsv6D5UnaujLEataxJZAcPcO2lnuvQizN6gOEgijb0fNrw8mFxFzxp0n4256baUa6ImTQX8wgsvRE1NDW67bahtpk6dikWLFmHNmjVaMqwKQ+hnTRAfmCMO7MGIKZPRO7cwOf1uzNmu8ID9zTnkt+57+8zCjZGragQAXIAhxZ1cQSisVn+zt4Xo2NYt6G0b8oEUlazDXfej4e16AENhB8UQWMPzb0+kO+HaLLmxqxor149ywrb53cxi+ESg4AIgWrY2dlULIfaaMG7aRPzDM58FAPzj2Xe7rKdeiRMKIRKvQw9ucZVJiFb5wsvMkL/4mV33A9cecs5Zsnwmhp88dN0y46ZNdK5bZbGQH+7iCw7JUylSbhefhc44ObZ1C3rqgKrmgkX8zfFTcdGUyQCAhr3dqGq+BlOnD4Vr/PUbH8Ad//x7AENh9YChPnImZenaFuxsQu9goY+njnFb/eT6im3UOzePQyPHoaemMOm9lNsPYJJrxeRzuz7p1Ke3Le+M6wv33uE5dqm+oiIth2mktl2zaqheAHDXrQ/hou5CezWOz7vutcLKzZDrx8rmyeif8nZdm6/Bmg3K6jgMtUNByaOVgDs+8aRrjP5uzNmAcE/RPQ4Uxr3YpuKDks5XhTss3KtDc41qA7H4ggDA2fMxfO5CXP2j81z3rLhqoWNlVh1LD7sRBya//XnIuuu170VUkIeMCyoXg7fnHGmskvsOXWNv28BQmMF8Hj11/oYOmvPEtiSWLJ+Jum9eDKA4/GEYpW79yNU464pLAQz1YdXb920PvOfLw03XoWNRYdUl6EVizbw7XW3jnkurity2gpRh8f4RZV517SFndfGsKy7F6le/iOf2vgxAPcdQXxRCtLqvUw75GQdT9xbm9CCCVmtVfah6iZKfAyp3maiGo6hW8aCx6lem+CwK8wJlS0hAujazjh7mOP6W2eQ5R44cwZEjR1zfjRo1CqNGjXJ9d/ToUTz66KO48cYbXd9fcskl2LFD3y89NQs4wzAMwzAMw9hAe3s7Vq1a5fqura0N7e3tru9++9vf4owzzsDDDz+MhoahjZv/9//+X9xzzz341a9+pVWeVRZwhmEYhmEYhkma1tZWLF++3PWdbP0WGTZsmOvz8ePHi77zgxVwhmEYhmEYpqJRuZuoeN/73ocTTzwRL730kuv7l19+Ge9///u1yzshdA0ZhmEYhmEYpgIZOXIkPvjBD+KBBx5wff/AAw+4XFKCYAs4wzAMwzAMw2iyfPlyfOYzn8Gf/dmfob6+HnfeeScOHjyIa665Jvjkt2EFnGEYhmEYhmE0+dSnPoX//u//xle/+lW8+OKLOO+883D//fdj/Pjx2jI4CgrDMEyMDBs2DD/5yU+waNGitKvCMAzDWAL7gDMMU1E0Nzdj2LBhyqXCL3zhCxg2bBiam5uNlffiiy9i/vz5xuQxDMMw2YcVcIZhKo4zzzwT3d3dyOeHElK98cYb+P73v6+dRliXsWPHau2sZxiGYSoHVsAZhqk4ampqMG7cOPz4xz92vvvxj3+MM888EzNmzHC+O3LkCP7mb/4Gp512Gk466SR8+MMfxq5dhayKb731Fqqrq3H77be7ZOdyOQwbNgzPPfccgIILyubNm53ff/Ob3+BTn/oUxowZg/e+971YuHAhXnjhBef37du348///M/xzne+E+9+97vxoQ99CAcOHIihFRiGYZi0YAWcYZiK5LOf/Szuvvtu5/M//dM/4XOf+5zrmOuvvx6bNm3CPffcg1wuh0mTJmHu3Ln4/e9/jxNOOAFNTU343ve+5zrn3nvvRX19PSZMmFBU5uuvv46PfvSjGD16NAYGBvCLX/wCo0ePxrx583D06FEcO3YMixYtwsyZM7F7924MDg6ipaUlVHIHhmEYxn5YAWcYpiL5zGc+g1/84hd44YUXcODAATz88MP4P//n/zi//8///A9uu+02fP3rX8f8+fNx7rnnYv369aiqqsJdd90FALjyyivx8MMPOxbqt956C93d3S45It3d3TjhhBPwne98B+effz6mTp2Ku+++GwcPHsT27dvxxz/+Ea+88gr+4i/+AhMnTsTUqVPxV3/1V8bdYhiGYZh0YQWcYZiK5H3vex8+9rGP4Z577sHdd9+Nj33sY3jf+97n/P7ss8/izTffxIc+9CHnuxEjRuDP//zPsWfPHgDAjBkzMGXKFHz/+98HADz00EN4+eWXcfnllyvLfPTRR7F//36cfPLJGD16NEaPHo33vOc9eOONN/Dss8/iPe95D5qbmzF37lwsWLAA69atw4svvhhjKzAMwzBpwAo4wzAVy+c+9zls2LAB99xzT5H7CUVold0/jh8/7vruyiuvxL333gug4H4yd+5clyIv8tZbb+GDH/wgHn/8cdffvn37cMUVVwAA7r77bgwODqKhoQE/+MEPMHnyZOzcudPYNTMMwzDpwwo4wzAVC/leHz16FHPnznX9NmnSJIwcORK/+MUvnO/efPNN/PKXv8TUqVOd76644go88cQTePTRR/GjH/0IV155pWd5NTU1eOaZZ3Daaadh0qRJrr93vetdznEzZsxAa2srduzYgfPOO89R8BmGYZjygBVwhmEqlhNPPBF79uzBnj17cOKJJ7p+e+c734nPf/7z+Lu/+zv09fXh6aefxtKlS/H6669jyZIlznFnnXUWGhoasGTJEhw7dgwLFy70LO/KK6/E+973PixcuBA///nP8fzzz+Ohhx7CsmXLcOjQITz//PNobW3F4OAgDhw4gJ/97GfYt2+fS+FnGIZhsg+nomcYpqI55ZRTPH/r7OzEW2+9hc985jN49dVX8Wd/9mfYunUrxowZ4zruyiuvxBe/+EVcddVVqKqq8pT3jne8AwMDA7jhhhvw8Y9/HK+++irOOOMMXHTRRTjllFOQz+exd+9e3HPPPfjv//5vfOADH8CXvvQlXH311caul2EYhkkfTkXPMAzDMAzDMAnCLigMwzAMwzAMkyCsgDMMwzAMwzBMgrACzjAMwzAMwzAJwgo4wzAMwzAMwyQIK+AMwzAMwzAMkyCsgDMMwzAMwzBMgrACzjAMwzAMwzAJwgo4wzAMwzAMwyQIK+AMwzAMwzAMkyCsgDMMwzAMwzBMgrACzjAMwzAMwzAJwgo4wzAMwzAMwyTI/w9uEs9m3viS6gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# Set up the plot\n",
    "plt.figure(figsize=(10, 5))\n",
    "\n",
    "# Create the heatmap\n",
    "sns.heatmap(user_movie_rate_array, cmap='coolwarm', xticklabels=False, yticklabels=False)\n",
    "\n",
    "# Set title and labels\n",
    "plt.xlabel('Movies')\n",
    "plt.ylabel('Users')\n",
    "\n",
    "# Show the plot\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "记录所有未评分的电影"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(476, 450)\n",
      "Number of users with unrated user-movies: 199863\n"
     ]
    }
   ],
   "source": [
    "# Create a dictionary to store unrated movies for each user\n",
    "unrated_movies = {}\n",
    "unrated_movies_count = 0\n",
    "print(user_movie_rate_array.shape)\n",
    "# Iterate through each user\n",
    "for user_idx, user_ratings in enumerate(user_movie_rate_array):\n",
    "    # Find indices of unrated movies (where rating is 0)\n",
    "    unrated_indices = np.where(user_ratings < 0.1)[0]\n",
    "    \n",
    "    # Store the unrated movie IDs for this user\n",
    "    # Keys and values are the index of user_movie_rate_array\n",
    "    unrated_movies[user_idx] = unrated_indices\n",
    "    \n",
    "    if  isinstance(unrated_indices, int):        \n",
    "        unrated_movies_count += 1\n",
    "    else:\n",
    "        unrated_movies_count += unrated_indices.size\n",
    "\n",
    "print(f\"Number of users with unrated user-movies: {unrated_movies_count}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用余弦相似度，由user_movie_rate_array生成sim_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Size of sim_matrix is: (476, 476)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics.pairwise import cosine_similarity\n",
    "\n",
    "# Compute cosine similarity matrix\n",
    "sim_matrix = cosine_similarity(user_movie_rate_array)\n",
    "print(f\"Size of sim_matrix is: {sim_matrix.shape}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用sim_matrix预测电影评分"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total number of predictions made: 199863\n",
      "Average predicted rating: 3.42\n",
      "Updated user_movie_rate_array with predicted ratings.\n"
     ]
    }
   ],
   "source": [
    "# Function to predict ratings for unrated movies\n",
    "def predict_ratings(user_idx, unrated_indices, sim_matrix, user_movie_rate_array, k=10):\n",
    "    # Get the similarity scores for the current user\n",
    "    user_similarities = sim_matrix[user_idx]\n",
    "    \n",
    "    # Sort similarities in descending order and get top k similar users\n",
    "    similar_users = np.argsort(user_similarities)[::-1][1:k+1]\n",
    "    \n",
    "    predicted_ratings = []\n",
    "    \n",
    "    for movie_idx in unrated_indices:\n",
    "        # Get ratings of similar users for this movie\n",
    "        similar_user_ratings = user_movie_rate_array[similar_users, movie_idx]\n",
    "        \n",
    "        # Filter out users who haven't rated this movie\n",
    "        valid_ratings = similar_user_ratings[similar_user_ratings > 0]\n",
    "        valid_similarities = user_similarities[similar_users][similar_user_ratings > 0]\n",
    "        \n",
    "        if len(valid_ratings) > 0:\n",
    "            # Weighted average of ratings\n",
    "            predicted_rating = np.sum(valid_ratings * valid_similarities) / np.sum(valid_similarities)\n",
    "        else:\n",
    "            # If no similar user has rated this movie, use the global mean rating\n",
    "            predicted_rating = np.mean(user_movie_rate_array[user_movie_rate_array > 0])\n",
    "        \n",
    "        predicted_ratings.append(predicted_rating)\n",
    "    \n",
    "    return predicted_ratings\n",
    "\n",
    "# Predict ratings for all users\n",
    "predicted_ratings = {}\n",
    "for user_idx, unrated_indices in unrated_movies.items():\n",
    "    predicted_ratings[user_idx] = predict_ratings(user_idx, unrated_indices, sim_matrix, user_movie_rate_array)\n",
    "\n",
    "# Print some statistics\n",
    "total_predictions = sum(len(ratings) for ratings in predicted_ratings.values())\n",
    "print(f\"Total number of predictions made: {total_predictions}\")\n",
    "print(f\"Average predicted rating: {np.mean([rating for user_ratings in predicted_ratings.values() for rating in user_ratings]):.2f}\")\n",
    "\n",
    "# Update user_movie_rate_array with predicted ratings\n",
    "for user_idx, user_predictions in predicted_ratings.items():\n",
    "    user_movie_rate_array[user_idx, unrated_movies[user_idx]] = user_predictions\n",
    "\n",
    "print(\"Updated user_movie_rate_array with predicted ratings.\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GBNYDMCH/faxGb5q/E/Nw09TnVIyPDOSXOJ7yCNHm4xQYhwLtA0x1495qVe/S1k21UcFhFagabT7eYRtkxl1HbPOxdu2VGrSUfgENjNv0B6BjC3FXXGDs69qRH7i99VD7bGrQUmb4i/gg/8KsduXLNVG2p/YdzvYB7RiTZcl6yrrIvmqae6uujbRzQPt3iY7kkaSAPe3KclQHCfme+9+LbRdc2xW/elN0osNn5fuGhlZeEOXIhcCFckF57733eqWcC64BP5sgzJrknwIQUHuGprVCCNBSDJ4vmDMz2Lp8I/VbhfkipeZNaKijpZ9gdfjF+kn8PUXQxXlWnsFScIr1CU8AMG/PchVIBpCY/Rn9jgsB0dmCKO+dvnK+WoCyVr3BiKd+y55gcdiYkvVPzPn5uk3b2CQEE7NXAN+7JXKJVZRtL7hZk5IxewWov2ndTLQT314QkfW139y05WgFPS19W1cWf4uPqFPei//WHUTOJbQLt7Pg076C8+Evfk6/XSMAOX1nTRUEBus2S5dm24VzDUcHWjj7IMyLHefLGuuy+l5Y9FUN+Jf9nCv/eoI5xed3fF1wAVyiK5uoVptpT6tnHyBlr/mUf6/avAXfqHDdvbNfigfQUdlJLlj7crXv1HI9D/3sKUXxZe8bbe/XbS8o9aYAoeUxPxucbzopODdBbtqNU8u5DHotiDN0RAPWk+/uiguFfOfNTycx+cBb5HuK8VmUMFVpm18+NIGFE6rxf/x2AHzDAwlPntut92jvO/bifwAY9qsft7veFTpDea89H78rcPHCQbc+OqF47Ox5h1r6Xlirzoev9P+aMOyCC+cKfVUA3xzdu2vI7IJzF0jsCH0mFX1SwB6o7t4z2sXVM9Ix36tM7hNrW+y1XM9d2UzahI/R4v6Ctvul8ANQDMTacewGnBKm+pDocYrtI6DgMMNuiNMJyinVb/QabZ4UvM9WG9qdjUvea8+PDd07EHR1Q+7O5t1QXI7Rzk1MccQv39hpG3XEv6vMzDjmoQXn3+Tset7qtby6xHbPyvkYCw4zylb+qHUPkWpzmXgw9A3IhSxbkoxYO5Pj1uUbmbWua22Ut3otg2aOdVg/oB2jzNn4gHfHn/2ZijsAOkyAciFwNol3LhQMzY0Xugp9Er2tWXUFYZ4b9EbcSXeS5Lj68eJAX2FB6SkumAa8NHMXLx+awIM8K/4QGq67bopOVKbogPwMGiPjqH39ZQAC4wbgMWW6SvzgKDGIFCAay6vwDgumuVb483n6++IRKthD6ibNI98zXjcp5XN1hSV43PUbKv/4GAADf30334dNJ6ZZaMlN3uG0PPJLQAiXeavXcvBesSnPP/AHWqbModnoB6A0mAAxzTlUrnicgUkTADAE+OPm64fZlsbUOPwS8DQCbQuGdvExRSeq8nTJX6xWtg/8MZO+fFi968DcPynh8P73Ylku5Bk+2hPB3WP2UeE9AIBBOV+od8Sv+yMkLeTMM6JfQh55UqfNP2QZyxWnhdDXmpdL8cylBDSW6b7Tzc1qq5KbaluZpOdUvEiCc6hUJGY5kmsB4LYpeQw8tkXV/ZmKO1g4QZzIfn3/YTbfk0NDf1G+e9rH6rulpUIr2G0fcLuqY+WgCYSc2qfu9Q0LIHCIeLd7gD/1U1MA8DEVY/k2HY+QYAC2j1vO9DP/YfsAccgK8aprGydNjWSNuKUts19ELHyzkRf6iUPUg6FvYg4X8QnGwhzdvaboRF4+NIGbJhcBUNfq2278Ga4QsQOt33yB15hxDl0z5AZhLS0GoLlE+Oyf2SN4TI99kMuwG+IAiEm5iq/uWN122GhqpDBRCNX9017H4OdH8xlRzlbboUT5QleXgdWi3mvvn1u54nH1b+0hS9bP3l/TWbxA5YrHVSZMiUMWcSgY4FtOQ6s3AKO+ew2CwzBni2AZ40hxutLOEfnvwY1ZlP35T1SeFKxBY5ffTkmC8JMOrcjhTHgi0TnCv1kmnSmKFy5sUTlfqzF1JNdCSJA7i4+IzLc5yY+yfl+QOhiUx03G4uYOQKm1H6NyP3F60JCZUEFYxqaEfa+S7QDU7dqFZ7Jox2ajH36Fwq2tKWIQNQEDdL7WpuhE5cOeUv0G1IlMp2/43gvAUjdhZaz5ZivNtYJj/c2p7zJlVLOaH4XDZjDw2BYdA42EtbSY1mGjORoyVf0tfsOfwCLGgzFhdJv/ts2nWyaK2l8ymJTqNyhbJ/jcQ2+5mfXu1wEw15gG32ykpbYOAN9Jk7F4+7EzVPRbRZ2RSyNPAhBRdRxjaR4Hn3hV9OETyzBnZ+Lu5wvAsbVfU7hFjP3JB97Co6WR0qf/DMCAq8bjERev2kq71stsnCviRf88e0ubZUCud15NIkbJWJrHd7E3krBR7AUeEy7j2dM3AHD3mH3tEjg9U3EHm97dDsDfntWP99pmbyYXvKfrP7kGLpxQreqXFbeIX99/mA0zRDIw89U363yl5TfIftAKl1lxixheId5/NPQKXfzM1uUb6Xf4Wwxu4p32a48jodPRWJbrrux/H1Mxu3znqP0nJ/lRjleEqOdagiLwqC7Vlevo8JMVt4j1+4IYEWcAUP7M8jCePLFK5bqwr7/W4qHdAxTcDGQNvqbdc9byEmrHztTt025uVuV7rvXFH3niU1KDlqoYgHTTJJ3Ptb2QL+sNYl9Ytm0Bw0ZFqN8Sch7aoydKCOkHrv3OjtYjCfvDiVZB2Vc14F8N7jixWHcx8+ShXi2vM1xwDbi5SAgim+IeFElqKoTQ5TfHT1ANAlitNBv9MAb6qucMp0+qALSAnD2Y4sVG5O7n15Z9EVSQ4szXfwLAV3e+rZL2hE6aR0xzjhqcSQF7qLRpbA/eu4Ek6x6V1rg+MEoXRBhucGPrBzYWlEkZBA/pr965cdyfSDK2JeKJX/dHnT/0sQ9yOWZ7dlbqg7QER9KaLQSn1PCfqcl9vCKEUYhsiiDo2AqMQ8Emj3kEB1EyRGyOkd+txxLVtjA1zb2V9dsNjLxC/F56UzBZZSKb091jREDcVE8hxJiiE4k1i5TFHlOmYzE3qO+2NDdgik4kz1NszBPqdqiFc3fyKqIyf0sAZeo7y679lRLIQROs0gDJpds5FOQ4I6LF6q7+3RoQAhUQ7iY21mUPXEWq13Sw5R9aOLEY814htKyIf4NX2cDYCMGlS7XYwOV7F5Z/TEvO94A4TFjfbSPJr5+aogSYOV7pGIODqJso3Djefq+Ct1nAs7cIK0Y+8bpx4u9epxIb1fr1w6+llavGiAxaJjSbbs4xGNG22Xia65ia2MLxajFe6szuxGiE0pp3PiJqiuASbVjwY7Zpgju1AZsyqLbBjgdd9puHlwemM0KAaD5TzPCbhuqE3yOXCAE84IEpPOCxkr/5/wloC1SV7TL38H0Y40Xfp0b+nCTaAmdT1xfz7CNPKorNFfEL2rLDzt1DE6igaK8v3xcbZOZWAE5cehuNFjEej1eEMCthEL95L1bVT5YDUFEXpeZE2o9fo35rNklzbAFxtqRXUqhNDVpKUrO41upuJOSRJ5FknWnjFvP+w0K4ffaWSIIaS9r61H8P96+bqDjuU4OWkrq+GC0W2wo6XhHC3WP2qH7+3dvhSoA7bhrBX7ct4NlbRB1MAYl4bVqj5v/xihDid6yxtRF4pa7Rcf8TnYg2D5uqn9cevM0mXR/KfgChlZd12PmeWFPDF9oC2sIy8A4LBuDI4RKGDeqnytlfMpjA6ETVT9pgYuQ4qGirz/DLklR2zKy4RQxustF2VZVDUCj9SsWaMsO/mKKIqwiLs3G5u3syIUKseW4VzVhaWnFzt8352hrwDWRK3RcAVIbFE1QpqFCbvINxz8ulX4KYL5bCPOryz+DuLZQUg2eNpXCLSMpVYByK71O342YQ66BHWHhb+9E2RgCsFiuxS27kZzEirsT/wFdYY4QAZi0tJj9uEWFeYh3z9Qok2GgSewtQFDOZiEaxdfpWF5L/1odEjjsg+qHm90yd5sHKlULBEuGWx9HGIYA4xLu7WZVVcMD0Y1jHTyIyTJR1vCKEEbY4l1BDOa88Pxz30iTxnvJTaJEatJQXtoi5tIGPCY5PUteC3atoCBTt5ePeiNWrbd+cvnI+xpMfcdp2vzkzQ2V7fjGovfAhCQrsIdeZMi+xnocDtLZdt6LXTHrkH6NknHCtizyxQwQup9uURfFt2QzLGgK4coyZEpM4cFc0+uvKqWj0J8Srrl1bgOhjCft7AArjr2LUsU8AvYW4duxMUQ0bAYMxYTSZcde1za+gSVAu/jkSmBL2PfnWNmG9ssmvbZ+rAC0PxoyxTYQahUxjakokeUE/Qv1sDG5FbfdVtwSh3RlPxycxICedH08+Kf5gl+hZO9/vfy9W/fu6hxu59w/tPr1HuBjiatw8XRrwHqE0U0RAa9NE/7v1TqVl0sLer1SeWLXJWYYcEZqs8MYCdo9bTNI/xEbbUlVNU5WJqhOCRzj2mhngKxZSGutpjYnHvVJsKGmLnleTMm/1WsJ//4jSPloMHuR4jGLcwVfEs8FhSrvjNyAct/k3kWkUGSwn5L9PQfxMvh8xD4CE7FT6HxeLpSk6Ee+6Mhr9wtX3D7shTmkPX266kztzRBs4M4Fp/ZK1GsYze46ochyZ2/LjZwMQk7OZZyru4JZ1QhtgtVh02suWoAgsO75yWIeOzHitgWG415Sr36boRBX46VV6qt399kGY/vvFRuoWGdXuXlN0Ij4mIRCZ/ULxPf29wzpISJ/X/cZpTGgQmgX3xjqwWimKFv2UejiOZWEfAWAoLiDt5n+o/u/IzcByplCXWj0rbhEB7rW8t1v87cHQNzk0SGjIBhryCMvdrXteq6nRalP+mzeFpf5rFTtQer+fcEXzZjwritS9vtMF76mMa2iMFFpuw5bPWJP4V6IXXqKue9gE+YKX/kXV4+8z5tQH7d4vv8WZj3Ba8iqGHxGCUUzOZgB16HPDSsNj96nNOP+a5WSVCcE5yKeFK8+8rehAXyuaz8BIq06oDQwRgsFfEj5Q74L2blhaTUxa8iqiMnfoxqAzd6vWgBCORlypYwCRGp+Y5px2mQ3tg5GPLBAa+TGnPuDIkGvwfUwc4qVVSOteZa/Ns+fG175Hwq/8FAX/fJ3WFUJTfbhUtFWEvxDBLyt8V1cfR2xJjmJSpOZx7AttLC7RPxfMKuuNNzA2ooDYnC91ZUts1bhlpSWvYmDWNoZWivHrWXlGfbNsBymkyHfJsZCT/KjORa//pBEqG3Dq+mJSFvZTh0kZi2FvyZTXSrxiGXrc8Vwsj5us5pcpWhx2vr7qLwDMOfosJRPFGrerXMwLLXuHPUWlRFdikezHm33/Vw4SAri0vklo1xWHGmeldLLoyu0oP4ScH135BkffLdcfZwH/juaWM//63nDp6ZU4A6uV1OA725UjLTRabbMpOlF38OwssLaj+nWn7lohWpstG3pP+O2twPy+qgH/euS4Xi3vquwDvVpeZ+gzQZhd8blSJrexl7bjAZfXlBDaJHwezTnHaK6pxe/yy52+R2ueKd8ghI2wBcJVoilDaAVkgKUj313pNiA1Q+3q6+C77H3azmewWlcWid6qz/n6LmcLf1bcIvr9/RdAW5/2JTxTcYfOvFjx+WZC581Wv7vqt+gowFRLf/hC1F+4e0ybMKBzXThHmP1SvC6w2YXeRXeCDC8kd/vZQro7OPp9rgIt7d/ZGeQ6d0/l8l6ND+itoHoXXDgbuATwc4MLl4o+IpYXvp/BzZ8lA/D+Nev4bfBGPPKEK0Rj/HhO+Akf0FG5n9B68gSe/YV2rWbzZkz/9wQD9wrtpbWlGZIWAuB+QPgynvlMCNL9f7QQ98I8qjaLE2/gyKFqsbTMuAZjTQmzfIW/HNVgXCa0MiZEWuGWeuH3UD9oAv61Z6jJFVrvnVOfU1qfgb9ahntpAanhPwOEUGMOj6ZprhAKC72j8cQMQCseBP5jOUN+HKfaoj5qOB5SC1VbA/7C7OfIBzwrblGbb13hC+wcfjcAl59+l6y4RQyrEjzMjX7hpNvM8yDMVL/5iTDbpuS+ofNFdXTiVzzWdhucViA0R8RSGjyU6pYgQPjNWa1uVDf5qjoZhwzRlaPV0gAO/R/BsQ+4bAd/9zpqW/1Um4BGoERPSxfhVkzAIKFZrNq8Bd+BkbQ2iMOZ96AYCqfcAkB1axDD1j2lXKD+1O9Fnh7+vkMf8CNDrsFiNRBfK6glS4OHEvHJ33ghSmjeHgx9U3cgkOZEEL6JOw57cCxL+EP+5ifVPLt/CQDZGcW8GL6Xk/HCDSassZCoV36FdYLN333KjwltPA3YNKtDhtDar81tA8DN0xMAj8/exDjU1vYJ0/m/1UvwKrYFyFosMHWS7jmlfVzzMgHTp+k0b3IM+R/8ijfDfkdYkOizoaGVjCj+CrdTYs5lT/6Zzsz/4nNDsWwVlpQzVy2mGSOlTYKvv6jGhylhwoqx4cRIro/epcaZHJvSJ3P9viA1FoZX7sCjqgSrLQuuDPrVxUnY/FJb3/gbgddcS8seMb91PNqZW8mbcJPSBJvDozGWFbTjKpb/1o5HWSd5cDJFJ1LjI/w6pWbNmc+lVgPq6B5piQC9NcLiG0jxgPFE5Xwt7svMEG4jmvgA2WcvHxLaV1m/2u07GGmLFSCiHytLF/PbkgcBoakelfuJKqclpJ9SJMg5K+MBnj8xv50vakG8MN9LX3pnPqUF8TM5VS/mYYhXHX7u9QzKEWu0OTsTw+UzaPAX7yn3Hoinm1m1Z/ScKbqD/LEPcoldIsrVpogHYVFUGr+GOvDx032LhLW0mOaSEh7zFNaRP8zMxOwp1q2w3N3ELrlRpy1NDVqq1vsBv/klz58Qh937Bq/DvaZcja1XCzZ06AN+vCJE9be1vIR1Q5arNXBEnEHHNS98wEeo+jvjfpb3y/YuHDZDrcmyH+x5/uXc6o4PeFLAnna5I+S1oaGVum+zVyxo6ye1sl31AY9f90e1tgK6ediRD3hFnbEdl76stz2vvhb5nvG6+a39TrkuOPMBt0dXfcCdKVr6ig94X4Wbu8sFpUew5wF3lIBGu2hogxRyX30Pd6M7QbFiIAddPomWQuEDbGkyY0wYzdEX3gZg8OxxnNlzhKipYuIVpB8gbpkQuvbG3ELCxw/g7uOl3iNhKcyj4MtdyqRK0kKMJ7M4+IwwC4/51SJKvxGTMHh4LGf2HKH0UWFKn5D/PubMDJXMxuOu3+C/X5jvazKyqc4rZeBM4QbRaqrFmDBaaTr6TxrRqbZYBoSM2PMv8lPFhhy75Eay4hbh9+htAAy686Z2pP7FQ4XPfL/j29gVfStTCtbQDq2tYG6karsw6wbPnqG7rJ2UMnCtsZ9gA/H4dhMecfFq4wpsKKXpn2LhDP7JYjyqSnSC0sNHb+bp4e+rsjszX7bkCuHOIy6+w3t3DriNy0+LfrL4BLBl1qMAytVH+oTjZsB9lDjkNQX1w7skV8UP7E9cRuLGR3VCtbaenZlflUvHse8gOKztJs0BC9qbgM2ZGZQu+jUA/q88jk8/zbMABpuJ2mLRj5OaKjJeWEvJLrHwTj7wls69a/ZL8Xz8tLd6jzyQtjSaCU+eS91OESvhd/nlmDMzlDl0zte/xnj5leLevTsgaSFNXoGqHEvBKSwJE23t6aaEN3N2JsaRCT2ygKzmLp1AroW1tBi3iH4OnmqD3GymBx8k+NR+tcbM+NdtGKJEcGzdwJEqwBHau3hozbYPH72ZmBg/fhYlshYVRyQw8NgWh9/2pttd3GF9zemGZ87MoPKanwMovn8dqsrVeNFtyk2N4OXd7vaO2ldeO5a6h5ipwo//R4eW8rdnE1W58kAgfX3dTn6vXMDSklcx880l7ZiNdO+0uUyYDx/UBd3KfzujsLScKRRrDVA3RQi2jvrbPgmXI5e4ogThEhWVuYNhVd/iWSncDamrBT+9D7GC1dqOb94e2vlsik7Ep9a2nucdhcDgDp/tyrhvzcvFPbZNESNdaEAcjIoSpiqr1sXAyHExCGzO0JEFviUogoYAseZUrnicO2t/9z9n2eurGvBtYy/t1fKmHdzfq+V1hgsugJ8VbFW3lpUoFogLtVBVfL4Zz5/+BgC/ijzqQmPbZYGEjjN5QfdNqtqFfnf0LZjGiQE5feV8nT+nLBuENjxlYT/m7RJaMM8Ro3T3WN56ib3PCQG8K/5jaqP6/lvw89cJH/lvfQhAzOLre43a6XwknOkILoqqNpyLvujI6tKV+11woavo6gGxq3PeNRZd+CHCJYCfG1wwFxRpavp5tnDbOHLL3yiq8WkznRxcTUvscECkToc2irX+k0bQNPdWfGtEcJp7SzPGEFsq+qpyzIWn1XtykoX2UwYEDbhqPI2nhbDulXI9x4KmKOHYa9Maqo4Ks2/w8Fg8JlxGy75vdWWFP/d/AOxa8kHbab+mitB5sxVH89w9a2BurGKPGNyYhU/ZSfXd/qvXUmvjbx6V+wmWwjwMA4XGVH4TCE3gEl7TaY3N4dFsahZUagusnykN7b3ZD5Hj6ccNNo2J4YpZ5K/7K6ZoEex6/3uxPL5UuNO8Om0DZaFTODb/96pcFTTWVIPbjbczLE+4SDRGxuFdkuvQVCVNmTEtgq7pmaZfsjCxmqGIPiwJm4rpcfFcY91BDJkZOjP5iDiDzgVFG4X+TMUd3DZF9MWL6yN5evj7qg6TDySCbZMrir9KRxmXUv2GTmCzD+yqyMrFXNfGMxH4uKAsO22IZdTR/2IJEsGxzxZcxyWDDdQ3CQ3f5TH5ijoxtbKYZ6PzcG8VZnKPlkZaN37E+xMFw8oSXlMsAyG1BbR4eOuCLkP9zPh4iBiGfl6lnKwTdJD55d7c0vSaLoBPG1grLQ7QPpW216Y1NNfWtzFA+PqQvVZotUfeeLnOyhK75EYVSOm9eiUBCZewbohgQkgK2IN/SQ5u5sZ272zNy+Xneb/k4TvEwdffWs2sdQ+pfjE1+zCpXGiJ1xtFEGpygziEujWbKYy/ikAbQ056zUQ1149XhCgrgMTemFtoahUsGQeyvKgcKubvpC8fpmnurfjtFa5ghv4D8dq0hu1zngZgjPshRYnXkvM9R+csbzdeAUYdeIOS8QvxMYuAV7+KPAz1NW2sQjamBhBBg0kzoritWSgNSoZM5c29w3QuKA1GoUF+e99w7g9ZraP11NIvygRK2u/WmfVtmT5lH2uFvpbgSOWm4bVpDTnJj9LfWghA6Mk9ujmqM6HXVPFMi6AmfDD0TVKDlrKwWRyMiwZOILChjR4uIHc/LRHCSvD1tAeIytzB8K/EGnN05gOM3PuqoqzcNPU55rutB6D2g/dFgjObK2CTV6BwDzkl1rOw+XM4NUy4VtW1+nK8IoTkE7YU7lGxNIUMpNnTR7SndzihNSJo28Nch2V7GsdSxfgYNH0E/ldMVeP/1FcH6b9S9L2PqZimL9bx7R+FVfCyR6/Cb8oUXd/bu1zI9fPu6H3KjS35xErcwiIpj5ss+qW5nrL4ebg/IoSQ/N9/wrHTwhpxffQuHctNQMFhVnMX/3lJ1OHNF2LU/Ab0bhFV5WwZ/luMHq3qmpwHNT4Rat2Tfa+NMdJqm6XVLOKTvwFQdu2vCK8WtLZYLTR5B+vG2JbIxeqdWqq+I8+uZsT9S9BCaw1z5IIiaWV9LLUca4xzSkMo6yx/pwYtZe63D4iyRrYlasiKW8Tu3DCujxEKoBrvcAYe/YpnKtvqZe+ConWR0bqxaV1i7JG3em072lM5h8uskRjcLIrJJbbpKF/VXqaru3btCvUzq3a0twKs5i6GDRBr6RWn39G5oNi7HDlyp3EUNArOWVCkm2dvuKBcDJD73cWKC6YBr3nuN10KTpSQkcoAA2dEMuK+O5Sv5+5xi5Wprjonn4hrFyiGEu+QACqOFeqCWMpSPwfAcu9TRJ7YoTM1nl4jeFfDx8TrTKpNc2/luocbFS8roIT1iCsnUXckB/8rxOYtnzFMFf6RDQH9lFBgzjpMzvq9jHqozRc6b/VaAqOF4Gfv8qGF3JB1ArmdNl3yI0sXBWeuGs40OoXDZhDYUIr/d+LQUzt+llONjn3iHVmmfOeBlnFcUSXa60jUnE4neGdJWpwxS3SE0iGXE5QqOISL9x2l6GARk35/EwD1ObmcukUI4MO/XElD0vXquY4i4S2+gRjqa3R+0r7TRypNsDkzg31zRLmJhkPt2Da0sH+PVqNclvo54SnzHH6XveauNS+Xwq/2quvHPsjVMfo4yuoqkbd6LTELhZtJ/vpv6P/g/ZC+Xl03xsSIut32qk7bbS8U6FBThbXZzM+ylwAiq6dMigXtg8rsA+u0rA/atu9ME2nv26kNRO3ouY40l/b+rB3de7Zm+I4sCsu2tdE8OnqHs/lTED+TyE9fADpPDOXong7dXOz42LsKS2EeLVVCkOosI619e9ft2qUEa4CaGOFGFph/kLzVa5XboLufH+6Dhzgs0/4Aq2Vh8dq0Rhe0fK402lWbt3D6/14474JPVwNMDz7xKmOfWHbO6tEV9yl7BrSzwYW2nF7M6Ksa8B0TJ3V+Uzcwde+ezm/qRVxULij2qei1G46zVPSz1j2km3iOJqGjVPT273Q0cZuPiMQI7gH+bPnZe+qe5tAoRR0Hjjflcx3dfrZuEhWfC591LSNHjyDZajw8z64cDRxl3HQG+1T0jijuoGdsIF2l3OqOAHny3+8z+Kc3t3uuM1R+kUbI1bPU76L3PyXq5mvVb61g4kgAt7+mFchO7xTjXNbLGVyp6M8dfmhuTz+073HBhR8yXAL4uYHhvL6tA6QGLdUJ2M9U3EFW3CKdiWTWuoeYte4hoq6MAIM7vtNH4jt9JJYzhWxdvrEtxTjCB3r6yvmKni0teRVpyasY+7O2zElpyauwFObxUeJrfJQoDgTmzAzMGleJ4ER/ghNtgTxuBvJWryVv9Vpx3WAAg4EtP3uPqU/MJHvItWQPuZZWT1/KN3yBpagAS1EBs3y3U7drF3W7dmHOzODYi/8heHAkwYMj276xogwqynSCj7ZtUoOWtmlPW5qhpVmnTU1LXkVW3CL1nfI5LUwxInOdKTqRx0/dhik60WlmQnejB+5Gj3b10d4v/y3LSUteRWrQUvVNpuhE6vbspW7PXlWOtn5aOPpuPDx1grvsm+Yzxe36Sfst0iwK4DHpCnXvxPsmYy1te9ZaXkJK8T9IKf5H23fV1kBtDavRLzgyAFR+AwgmjYDMraruG0OWsDFkif4b3Az6DGvT5rT/Tg2qC6p131K3a5fuuv2ckOMmOHkhTRmHsBTmYSnMIyxRr/m7s/Z3GBNGOxR6Qh55st38uadyOfdULscjOIjBP71ZCd+Fw2bQFDGIpohBZMUtwpyZQU3619Skf+2w7Jb6BsUk1Bnkty3btqDd2O0IpuhELL6BKpBQ9u/RISnt7pOwH28dzbvUoKXqkA5tzATaeWnOzmyzPnUAc2aG+s7ZL8W3m3+S9hT05mHPCGEhawmKoCUowmHZTYcO0HToQLu/H3jsFVpPnqD15AkezHZ84K/+Kp3qr9LbrSn27ZIVt4gzQ6dzZqjgmLeWFmMtLVbP2Y9PZ/P9zJ4jqp/kf1o4+ptETfrXDv8O+j7WtqUzyD50VoasCwZ39a3mzAyWbVug8jGcLeR8d7YWnw0ctWFvvsdR+/0QoP0m3XrrQp+Cwd2tV/873+jTGnBn2jNrSRH5G7a1ZZN0ZFaysVlU7z0AQNDMJPF3N4MutTZuBkwDRRCi1gwp6azk5jHxvskYFt+j00hqGVy09FdSuyMDEE2Pv028SbgHGMsKHGp/8jQZOHuije1tjVJPNJcO61Bhy4oZGt5bVetxoJPUgGvNmwVGweDi/8RiYhZf39HjbbAfQ2cJ7YaoHUcHHnuFcU/9THdvOz9KTWZM++vO3mGfcMaYMFqxonTkAuUoWQ3glOnCFJ2oUtW7eIy7D217S0VCZ2400D4ZkPZvPX2/hDMXm/MdfNiRZfJcwJ7C7mLS3vcVdpKL1RrmCqztuxrwXZdP6fymbmDKzl2d39SL6LMCuD1PtdbftGrzFoJnz1CaEO8bbsdYaNNQ2qi6pEBhtVhoNbcQGCcCYQy+PnjECW3Wsm0LeGXkarInCj+3Ufv+rQRFSQmlNam3HD9Gc6XwW6wrKiNwiAjKM3h7M2/jfObeJvK+P+j+V8wFBRTtEjRnMb9YqoI55eIj67f1+rdIqX5DCeBa393OkJa8ivcfTgfQZZQEQZdkL/RIDaGhvobT8UlkjxAanHbva21l7+9eBmDiql/qLjlazOVmKGn+FM96cwvGcBEca/D161AI71IiJhu1nwzwAseLub3Lh9Q6t6Stx93HG4NR8KF7DB3WxqRj9MKt2azq/v3CJxh98sMO63rgMZEV1fj2RkblfqLLUCr7oeKpxxh0503qWYt/MHXB0U4X9Jr0rwlMugro2E1p+4DbSfzP/1F1UsyJnI9OMuyGOHUo7UxYq/4qHQCffmE0zb21HS+w7NPwicGMvFEksZLlOTswyCyvAB5HD1I7fhZ+3wpfckP0IKd1kbDnlHaEwnc+YuDtP9L9TetapKVyy1rwJENbj+joGCXsx1tHTCupQUt54U9bO6Qes3gLvum68LgON2stzeQd9+a3K9Ocncmmy0Rg4Owt9+BzqeD0lpR69vzn9rR/8t9atJ48gZuHCGi9+pNZDr9DPTsqUUfP54j2sW6gyMbqV5itxqjMDmoP6cr23Uv7de2vdXsC8IyM1L3H/lvsv7N4n8gXoT002/dpd5PpdBXdEcA7Et7y3/pQV//eFPTsD+Ln+8BiD2tJkcMMxz2Bs3iFTrOM/g+ht/vbJYCfG1wwAfzo8Txic75UA6V+azZzv30A4+DBAJhPnOBY8mMADFv3FKWLfs3A49+Ia5mHOLMri5BHnxKFWa1414sU6J4VRZgzM2gsrwJgz6qdXPboVbTUCTO4/6LrMaeLBBDFN/2egL/dT+h1iwBo3r+LjLdFyviIERGEPPIkLa+L4KWgRdfR6uXLN1cIjeOs9Q9T+olgfAiKj+HMniMcvFdM/qGhlYw6uBpzfj4ATfNuU0GYFv9gWvfuwO2yJPF7exr1RWUEpoiUya0+/rrU4+00F1Yru2PEoWAkh1Xk/rw9y3kx8ml+NUQEn37nexX9vcsxtQr3mYTcjymKF4JdVM7XnIq/WiV10S76Fm8/LF6+VL3zHwC23fo+i0yvKxP8x0+3MXqYYkaD1drGj1tdBlYLFv9gUYeQuUw4thqAk4mLGPDpXzAmioCp1MA7SKl+QxfIaK/NtU/DLCPCq1uC2vEY6xKxaDay6q/S+X69+PegqYOIuP0WKj4QCZxaGprw+61gggk4dRBLUBh1wdGqTfbG3MKWg4Ij/rdDNrLRKhgeJkTkElJbQKW/uHdfaRwpuc+QPVEsUtHm46o9/aoKdAK3FMArvMWB0MOtmdTDggt43JBGjEuuxOtd0YduP7+GgRPjMCy+BwDvujKsO9JsHWWhsbSCwInjATjyykc0mczqvR7eHpzZJoTh6SvnYxwch6WfqG9R1HjFfFH1/56k34Th1BeJe2sKygh55EklxG5dvpGozB2iPm5WRp74VNcvC5s/hBPioPmv0EcZP6QegMnHV2MaOhEfk2DMaAjsT7Y1AX9PwQiw9ftQBkSIpUfGcGTZUr+bWz0oNvmob5FJPgDm7rivXdCelqkBID6sQjyXuoLGeT8mMP8gIMZTmbdog9jiXVj27cQwURyanzuZzIOhb6qxa6it4uUmkb59/54zpCzs5zSN+cn4uQw+KA5rzzT9UpeISQYMa9tMy1CgFSY2TX2O+LAKRuaJdcRi9MFQL1ha6nbtwm/yZBV4LlNXj44Qc3hwziY1B2Kac3j50AQVOGrOzMA41OZC4+2jU27keQ4jtvkYflUij0JtyCDcrIIhY/e4xVy543msW79Q9ZNzVP6OChTrauQfr9cJ1PZonPdjvD8Xa0rRtfcz6MAHmEZM1d0TcESMM9wMaqzm959MxJoV7HwyHRBj+cyeI7qDprTA9M/cybB1T6nfo35yiYqDsBdIzdmZYLGocTP2hQXELhVuVubDB9k09TlaLeIgMitIMHJomYy0iVhSqt9QB/nqQeOpMkYqxiT7FPGAakN3Pz82jP2jriwtG1C6aZLKszQjcI9uzNmzoDTNvZWAQhGrIS26oi3dyPOIJyG3jTxABjlr2wP0h39oOyTJNrJPTqVtV/k37UFJq5DQzlFZzgLrZ6Idasp17aP9NtnWzg4m2m8ZElqlvtO+nsu2LSB+RAQpk6sAiP98JZ7DxXjNjLuOhNyP21mQ9saIfCFFNT7t9mHtd8eHVTDyxKft6q6tv7ZcCfvgbvk9ElrKYu1hQiZlcsaCci7QVwXwPdMu69XyJm37tvObehF9VgPeJRiEVsccGoWx3EY92IuuAd2px4l/vE3Eiv8HtLGyaAVJ3YJXW6M2H/sJYzlTiKH/wC6/WjtBtUlnJHQn4LpaAJZ9dxOPLjHT79Pn1bMSzSH9sW77sp1bQVcCDiU7iMyc51FVojStygXoLCC/tXjf0a67i7hwTnE+mAU6M6G7TMQu9BS97RbhGosu/BDhEsDPDS4YD/jZ4sizqxn4vDDVem1ag9T9SW3T+VwEs57+N0XflBIhshpz5fbncM/Y1XZKNqFOwSWr1xNx03VKw9hkseI1KgHTIKEZ9oqI1aWg7gw6ho93lymXlFdmpdO8f5cSnLfWTWKBmzhtP3tLHvevjuXVMTHtyisLuwT/ueGgCcgDCMgSWfvqR0yh1SACIyu9o1Qqb4C60FgC6g8rTXFS9B4MixNlE+hO9PZaTFN0In7lgvvX0GBy+K1SgzJ6p2NqvnOBzLjrAGGF0R6ozuX4Ot++klrTbWew19D0pvAty/atKdJpxZIC9oCN+lealrVtlG6aRFJ0W51cOHf4oQmYveFKcjboDVeJH1qfuOBCV3Gxp6K/oCwoZxONXbilBK9Na5Sf9pk9R1SinvO9GBV9U6p4yAEa/cIxhEcqlhat2dbnV8up+HSd+u1mcCPt2mfxq8jDryIPY/736tqp1/8LtGcEkNH4TYcOqOj56SvnU3Tptdz8dBI3P51E8/5dbJr6HH5VBfhVFTAstBQa66GxngMt40hZ2A9zfj7m/HxdNH/UQeGze9W2v3DVtr+0sXGMvJy6kZfj8eUH6t6QxjaqRYll2xaQFLBHHThaV79I6+oX1XXJxCH9ciW8GyqpCxtEXdggh6wJWhz/5JRTdgWJzq53FbHNx4htPqbjlrav+8WOrgrf5swMAk5+R0DBYV1wYG8h3TSJdNMkWnem60y8re5G9W9tPwA09I8nxfSWrk4unDv80Nr4++ff5Pvn3+z0vnP13VvtFB09Qad1a6g763d0BmeMNb2Fc8US48LFDTeDoVf/O+/1vxhdUOy1Bo74hyXO1kTeEeuEVgt36vX/6oLt7KHlGnek9ejtoImeala0QWzQ8+QlEs4SK/U2OnKRsfcH1NZJUsrZ++KdL9j7Adr7P3aVvaCvMB3Y42x41l3oGPbz73zNNS20fr59AgZ3sAgf9guhGe6ONckFx3C1Yd9DX3VB2Tfjil4tb8KW7b1aXme4YAL42m8tHMm1cNWfhG9085qdXL77/6mU7AAWHxFA2LLvWzZNfY6FZqF9lX7Osz4UbAJ4eSsBduabS8BipXa8SEqye9xiEYxzreCGttZUUX1IaMq3Xv8WvtNHKu21MWE0R194G4Dhv/4xppg2Te3kA2/htWkNlUdOAnD4jWwmH3gLAN8dqbSaanWBYFqtd/2CO1Tacu+GSszrPsByo0hpH5CfgSlmNB6fCSFsx2NpSgi3T0Ufv+6PHE95RAX5+R/8CutAEcBnaKjlI/+7mBMiAoZkQI9/iQi2uvHd8bw78lX1nRmDr2dwi9C2BxQcptYWuLNr/BImH3gL63/+DsDX164mpfoNTgwVbRTRlN8uGKnUS7iyDCr5luJ+Ywn/VGi8N019jhkbxHdab16G16Y1eEwSE+a1mhs4fqKOp5ofwR4yFf0dE48B8PGREfzM+LoukE1q2NOqJ7PI9LpO0KsYPAnPlgbV/5c/ngTAzifTuWLFHMw1whfeOywYywwR/PplUxIpp1/EGixYW/5p+jELEwuoMAcBEGqsVoFVsn9VAFdEAcGvP8a+G/4FwETjfnWfTBkuhSJzZgZuV86j0UcEFR62jKGsTgR6JgXsEfXd928Ajv/iQYalTMQ7QWQZNB/9XmnMZPCZHCtHnl1NzNRLKPhWsEMEx4bSWC3aYND1czAXFKg6bZr6HIkRwnoRu/kfuHl6qKyExoTRNEUMwuwVINqooRLrNyJzbN2CJfhtWE39AnFoybEMZ2LG3zEXiviL/Vf/mcuOi4N12g0vkvT1n2n9VgROe/bvR96UH6vA32OGURRW++nac03iX0VbB1p0gZfaMRa97i80zbmZgEwRLE1QCFitbOkn6mT0aGWElxg3Aetew+BlpPygaBPfe3+nDpem5Ls4kHCDev+s938Bfv66Q7UcU0dyLYyOd2Pm1vsBker7idW+KvCpwRhIxqhFgAgmT6l+g+whIvhvaOoKXRDmqxkTWTZaUJLW+EQQVF+M3wHBiFR76WwCjuzEPEgEhzV5B3P/e2I9fOWSN6iauACP1ibxbfkZfBO1mAhfEaQ58sSnNIf0B+BwwHQO5gVyW+Zv1Pc5yvgIsKfpUiZ57dexBnn2F2wk5tNn2Pa7z9U6l00iE3etUmPlWPJjRLqdAcD7zWfwCg2Cq8Q6YfYKxOQTQfB7zwLglTSbLUki4Hlc5geEHdiE1Zakq3bsTNxbzeyc8FNVr9FZnwDgY64hIHMreR8LNpWYhVfSXFJCY6kItMVgYM+qnWIoHNzP+K3/j/R7xD5x+eNJpM3+pygv4jT1rT5qHpalfk7gkIG8OEDU7z7LKtz8BUuUtaaaHWPvY4ivmDP+jeWUew9kwKfC5dGUfBeH6kQfXbHlQWpyTxOePFe1X9PcW1XMj3adkNDuDW8Mex5vL2FGDw20qHXN5B1O+qmhzB9wQHxb+XEMtVXqOcnMA7BhxscUXvsg4Y0Fqo9PxycBUGyOINKrTKWpB3Tj0WvTGu6pXA7Aq6PfEfNJg5agCDaSDDgOwsyNF+6AYU1FZLQmqlT0x5IfY8M+0Z4Phr6JtbSY8slirQ3PFe6ZKVWvi5doWHe2D7idwgpvfLxELFeon5kxhoO8fEiwAU1NbGFKfZvbo0dViarTwtaPVRtlxS0ipuW4Ij9Ytm0BN10XwZXpD+jaQd3b3MYMlO8Zz/p9QYyIa68RlW3QL0CsrcUmHxLCzzDk+EbVL1plw/YBtxPqLfabkSc+Zdm2Bdxxk2jjN/9bqQ4akoVJ9kuDMZDIEzt0xAkSHQVhppsmEepnJsRLWD16KxV9XxXA98+a1qvlXZq2rVfL6wwXVAN+NnzO2uh3LWate6jL5cr7zlb7nJa8SnGBgxCOmubeqnNVkJvYmeUPk7fpdLsypj8j/KZlCnlZPy3sswvap9x2v+xK3E2Vqk7ab9Jq7z0mTqVl7w7d81ru4N3jFjP2buGTfvDlg8xa95COts6eD1cmvDDPv02lZQfhxmLZnqbqGlBwWLEFpKU8w+QDbzl1ZZCCjBbyu7UsCM76zFGf9sQqIA8m/jaGgfOCatGHBIV0y4LTU2tPdzROacmrmPWOOFSl3S4OHNpA3bPROGp59Y0b38Vr9Ji2d0qO/exMjCMT2mW6lfPrh+Sb3xfxQ/M37s7ar7WyObW4Wa06gbIr7z/b+dPRc+erv35o48IFPfqqAH7g6um9Wt64L7b2anmd4YIJ4KWZuwgoOKzjkZXsISAENhWoaBMUm14W2oqDLx9kyu+msevPbacV+Zy7nx/ug4foBDp7YX3K78SpyXrzMnaPW9ymyd72GYXp+4A2Pm5ZjtbHW8JeGzn0iBA2B3z6F4wDB5D249faPSufmfqU0NC7exkxXDFLCarGwXGYLhGRvZLiSrvYpwYtZUKEED7DP30RwxWinAb/SLbXTyR06UQATN/Xi6QzMjufxaITuE96XEKNWXCmjzEcVDzQl3z9PK2mWlqbhMa+8qb7CWgsU8/le8YrbUHr6hd1iVsa+w2l2dOHYi/B+dyv6VQ7vu7yuMkA/O7tcB21mzkzA5Jsh5D09e1ol9JNkxgRLqjz+jedVNdezZjIxne28fHT3qqNtBoNr01rMMYPAyDt+r8x4TeTcF/yK3Wt7Frx74DGMvE9tqjqbwYv47K0h2iadxsAh1rHcMXpd1RdN019jrEvCPO7pO3Ttq/0W943+hbdYUJRhtk2q2/6/4TxHt+J7/QOJ3vEAjUePde9jcGzLU5ae6ibte4hwYuevl5d8/hkNdW54nBnrmtSz1WerGTsE8sUj7p4sRiHNTn5lPz6ZR3nvjkzg4JrhFCgtXjIPioOGg7Aydr+TElbrr77YOs4Jm8W2jSPsFAM/QfquMy1lFyHLGOpqGvz7Z674z4OzP0TAP9+r4Znb8lTWkRvTwuXee9T9yrqN8TBcmHrx+T3F+PqUOlAUvIFu485Px/P/v0o3yEsEgdfOUT91mxVTlLAHp2m8p7K5TpN0t5Dog2L8qtIWdhPp7nUrk+bpj7HwiYRr/Ff6y18lVakyoE2KkIQGrExBkGLmO8Zz4jirzAUieBjU8J0fKsLcS84IR4MClEuUpcuTmB01icYXhDUrF4/f0BH3XlP5XJemSn4058rvoXvM0t4KWQlINYcuQZtmvocU8K+x8csNOcvH5rA3WP26dpB1rUlOBLL9jSqU0SehCBTIcbSPHUQyUl+lKIEweYkWZ/ktT1znmas23e0vCksacGzZ6h1zKe2hKZNqXj6+6r62SfIkm1blfIzwre+R032cVUOgKVQtK95/FWceEC0SfjL/yLyu/XqYGjPRAV6RYM9laVcSy3b0zAmjFZWjJEnPiU/fjYxOZuxh3TZk+v6+w+nK9o92d5aaCn10pJX6cajbH/ZBtr9sDuHPqkhBVixuAofc41qT8/+/aj+LlO3BkoN+LO35LUTop0J1vbB0CD6XGrAtRYkSU9o7ybq6PCTGrSUUD+zWmtNMaOVFrszaLXPjpQK2m+x11Q74xYHMQ+Ohohx7v/47aTd8TlL3fQutD1xtdO6H/b1A4xLAD83uCh9wB1p+pxpJGSymo40fB35AZd+Kp6LuFYIWzLVs9eYcWrSJQXsEYtEFzUfjpJb9DVc6MQNjiDrFJW5o1t+rl35lvNBp9cZHGU7PG/1ahL83DKRlQsu/K+jL66BLrhwIdBXBfCD867s1fLGfv5Nr5bXGS4oC4o9zJkZZMUt0vklSWjdMSY9JDLz0dgAjQ2YMzPwaqrBq6lGnWRrvtlKzTdbGX7TUH79TVvmvLqdO9W/t0X9GEvBKS5dnMClixN0781bvZa81Ws59K/DHPrXYcripnAq/mrc3N1xcxf841NW38CU1Tfg/10a1rKStsrWVIn/pX9NTfrXtOR8T1ncFMriRNYmS10dLceP0XL8mHqk8os0Kr9IU892hO0Dbmf7gNtFWb6BWHwDMWdmsH3A7SpavDm046xjMitmd6Flp7CPfJdl1g4cpVw3WoIiaAmKUK4nqUFL2yWmkPd1hpFHNjDyyIZOhW/tWCmKv4pZ6x5i1rqHaNi/T2QSrCoX/wHm8GjM4dFMPvAWpuhENf5Khkx1Xl8bn7oW9m0hy8XufNsYGaf7nRW3SL3DXhvWevIE01fOV3UyRSeqcam9p/XkCUxbt5EVt4iW4EhagiM7ZSeRzDotQRGYohOx1lRjranWlW1/LzVVtARFqN/a+uStXkte/Bw1rmV7dJWNJm/1Wl25ziAzyGphf39e/Bzy4ueo+Vzx+WaVkVFCy/wjv1GWJcvT9n1W3CLRl1Zr+/dp2uyb/j/p4Cvb6ivLsC9LOw+04y4vfo7DsrQMSdqxMfuleJ6puINnKu7AWlIkDlhNjWTFLdKtDfIdp+Kv5lT81bpx7IzZQsfK1GwW/3UCmcFTCx2zRSd6IDmu7eugbXv7Na87rBn232qKTmTmm0tETBFiPju7t7uwZ7XqSf26Wk5fYQ5pPtIzFz45Pp3tG85gP7/PFt1hYVm2bUGvv98Fx3CxoPQQZ6MBbzl+TKQR18A+85ylSASkGKKiOfDYK4x76mfivQe+w3vceIfPOvLta5cO3M3WSVYLjQeE64D36DGYj2Q55Ym2N1/WfLOVwCv1ppO+woIifcWLdglhsCNml668sysJfLqLjtKGO4Js2+E3DSVm8fUOA+36CkuHNn12d1JpO2IG6k7/H3jsFQA1T1zoW7B3XTobXAiWie7O2Y7Q0djWrr193azvggsXC/qqBvzQgqReLW/MhvReLa8zXLBEPKVDLmf13uEs3SF8bOvLaoi9YS5NuScB8EocTfUgISgHnfqO5tAoPE8J9pKv7/2YWR/+GmtgqCrPzZYB0zgqEWqq2PJ/7wJw2R+mEzt1KFQIP+aWugYlkA27IY7YW1Pa/GrX/pLKFY8D0Pr4n/FuqKS+XEQTtwRHMm9FIOuvEmnMzQtu5+jD/wBgwpA4mmvr2WPTSsesWIT3b3+FZ4nwU+xXdUQJfearb2bPqlXMmiC+zRoSTlPIQMXo0hzSn0a/cABSi6dwW/Nrqr5Xbn+O4yGTKW8UDBWT0n5PXrIQ2KM/XME3s15gjuk9ADzHT+KJnOv5vUn45L0e/zxThwu/zzGnPiAvfg7HRgitmjYYcqH5A6oW3onHgd8B0BQxCK/SUzpGiAdDVos2OX6Uo3OWE4lg1PCKTqTUJ4LqFsEcMir3E+W/VzbkMsJ2f0bdOOHDmWcczpasUOobBGXYnPF1jNog2j4n+VHW7wtSLCjPb4ph8dxGvA3CJ3dY+bcqJff3JDAx/z32xYg00hPy3+dU/NXUW3xs9+7gyr+IKP6W+gZwM2BtFe+ktoZ5IcJ3s7HfULyP7aMlVvg3z1sRyN+eTaSpVSQd8nJvVqwc04IPUesZQv8K4V+/13sGk7Y/xf7pgtFlJIep8xL3BtYXc9J7lC7K/kDLOHZni6kXO8CdeWG7AKjzCsErIFVp3499sIqAAWkE3iAOQU1+Ybi3iDYwZu3GLaKfcp/6aeFiGku/xlwrXEkC4wYoHvnomRNxDwnBlCAOfS8fmsC9w0XMQf17bxOYcg1j7xUJh7BaMcWMVqwjQ3I2kJbyjKr7/rcyubdIMAmkX/kss5pTsX4nsoftuOIprswXB+vWsChOR45nYKH4tjMDJ+hiCfY1jyfSVyRcOl4Rwtwd97FusvDdHhxWi8Vq4IwtHf2QkEq8DELLenJkElO+W43xi/cB4WObFLCHo26CKeZ0jS9XBQqfb/+yExiqSkm7XjBAzPzyCb6a8wQg5pIpKIaTFmGRGFfxBXd/PpVHcsQ4P3jvBsUycfPdVxLg58aP9v8GEP7WM2ZGkRy5S31PlbdgIDluiuLdD8tZsbgKgMbHfkv/SSOU/+s7xyezeLCIXZFxAgGnhE+4adBYoUAYJGIo8DSyJuCXANw6/J8seLiRzffYXtjaSlb89QS7i/c8sdqXEwcE28vdD11JSQX8JF4wIvl/l4ZboJiTz9bfzd231WOyiINxvmc8o3I/Udpl96MHsVrEWmrw9YPAYKxG4Za0J3IRE8vX02qzdH0fMAU/j3oA4r5fDwYD5ggxboz533MmcR79v0sFoB9tgefLti3g5Xk7cDshDvnNCVNodTfS7ClYcY4xgiivYtE2jWXsHreYxKUisDvisrFYW1vVmjj1qVnseEyM5YFZ2xiR/V/lRuXZ3NB2wD7zEiUJc4g8IdLdl63bRHjyXGWxuLLoLd04j8rcwa/vF2vix097U+IVS9w3LwNw+qolbM4R4+b66F3UrHwK06OrAXjurRamTovCw7azzhx8nNx6wZ4U4lXH8YoQFTvSf9IIdsxchbub0IFVNXgqH3BT8l1szB/NjSFCcePe3IBHVZsVwT4VPTj2Ez8y5BouKdxM8/62sXoi5Q8EuIu5F/HJ35QP+N/8/9ROOWXxCWC9UbAF6ZQUtmBT2b6jI06TUTqAS/+RAsC78z/VuXRay0sonCJSu0fnfCXqX/iCuOjfZo1NDVqKn7GVOrOwMg8NrdTRxV6e0KpYRUDsMTpXUNs+JuOAtAewovirFJuIffArCFYigIHHvyFz0DWcqAhu154p1W9QOGyG2uOOV4TofNbtfct3R99CuJdgDYpoymdLzSRC/QT7z7Si/6j77A+op+OTGJCTTlOEWAu8Sk/p6rFs2wKHLCjXPdzIvX+YztDQStU+sl6y/lp0lQWlr8LNcHEn4rlgAri3WSwAhXvFwIr4z7s0ffw3vMbaFgBLK74mQXFlzjpM07wxeAaJBWj8PZeChyduJYXievxYjE1CuMTgjjk/n9i5AwAoy84nPGEQ+evExBt49WWM+okI5vN74DGq33yBGekihbx511asFrEYBp/aT1PEIJpMYuMvC7uEDTP+QfZaIWwMnXcLVYfFQmCpq8Xdy4iPh5hYHiv+jvvW/0CUMFt6HN6FYZSY5J5lJxn3i3Fti05RHl5FebSaRFkeAcEEVIrvbrJOATfw2idYRhrdDxDgbsLHVwhZxtHjaLaKLqzNL6bc5I6bzRx8euiVjDJ4czpaCEt1eyxYbG1vik6kpiWAEd8L4TPgWJtZvy5sEMEl31PXKtohx/9SEjST/7YpeXBMDPqWqYKCymqzCvjt3cTB8cuJ8RP9VDF4EsE7PxbfNbiZ5pIS/L8X7Xd84BRi+1sprxb17+9RrN4xKvcT1nMHze5etqFgZeSJT6kcJKiorO4eSrCvDL8UgFarm/q2nBGz2ywJTY3sfV1839ifzgJzIxZzCwA1e7+jdKxtU6jJxNI/FoNZtO2QcROJac7hkEWwwXgaWlX9AitOsP+q39HvWyHYXWI8hrXJTE2TqC9e4NckFkCPlkbdwlYyZCrhRhOXxInD4/iIExyqE+8Y4FaOu6kRN4MITjOGehIycSxmLyGYGBuq1CZsLinBI+4S7vf/FIAdD2Yw6TczabBlE63NL6YqrwqAqLo6Whsa8IoXc+TusfvZ1yp85yZGfwE5mdR8LwL/gmYmie+30Wo1hw1QbdkSHMm4kGwqDT8HYLC1HL7ag8FP1LfV4kbNEBHM52sqIrjxDOZAIdj1P3OAvP5TGFguhE2rpxuxZiEwHmcK5iqTotDcZppImF8jIb5iLMtNDmDWe3djcjMoqryU6jew1htpjBir2tirUXy3obIES2U5w24QwlJtxJC2ANfCLHyNfnj5ijna7BPEq9M2cGqJCOBLyXmDwv+7E4A9357h8iuilIDz+LAG3t3VQoBZbO4n4+fiaxHr2bsflvPqtA1kWRcBED9phGAKstXNVNdKnU+Y6EN3bwIaKzDbzPPpoT/lspQAIk6KdjBnHODWBJul0NPImy/EYGoQwqXXpjXUD74dK+Kg9+q0j9l+k1AAWK1mTHVeSvgo+/Y7FZ9yf7I3qdVLSTTWqH7YF3MzE7LFd1uamxUVrGSXCbAxAGUV+DHZUE/LXiHE5k69mqhAcYgI/XorAQtTcGu1za3hUwn97B9ga7NiBlBs2+yfjc6BKrAOvgSAJq9AGoyBlFnFWAl3r8TD0ubWMiP9/ykKw5lJU6g6lk/4xGBRh82H1H2tVnfy319PzOLrRZ9+8CYp00XwZtao2zleHkIKou4NFbWYMzP4vkUcsK/0cFP7QMuurRhPpfL7J2+3lbyfqIbjin7Rt8WEly1+eHPVZBaOG8bA/UKwSVn4AAHeZjZtE/W/tn8ZIATwyiYxj6VVy3KmEFOjB8PChDucv9FLHdT86krJOGwi6gFxAJt84C0CNAK4PapSfqYCa03e4YRXi/lcOGoa3kfSGGATwI0JoxloPqGC7gcmjOZVhDWk+ahPu3JrUj8j4PZFAJh3ZFC6SCiKBmr2DIDCeqE0ihjXZpnWcsS3xI/hu1IhTEpnntYBYl5qs94ODa3kQEEYAb4W1Wam6ESwsU7uzHRn4QTHbVDuPZAAxJh3c7OKYG3b72XbFvDT6EDCbIeVK5+7Rj0niQUCG4RckDUohb0nQwkNtOAI+0sGExXYoH5rDwT2yCn2wxwu9rghRRtZty2WYaOEoP9WluNAUUApK0qDhgIQrdmDO3KF2XxPDqn0bmBiX4bhIs+EecFcUH77Ui17NrUxG3w+bz2WJrPKZnln7e9099/7h+lKO3By8wH8I/0JHyMWEXvKv1nrHsJyRgjnW376jvobiOh5Ldd4WvIqZvxbLLSG/m08zwDUVJH7nuBAjlt2C5lPv86wFCFg5CQ/yoidf1fP5a1ei2WF4G8enLMJc2YGp3eKjWvwT29WbCTGkQk07N+Hu4+3+g0aH9RTRYQtuNphm0nTa1fcOiTjhJaFxD4NvKNy1KbbQbS4PUOJliXDmDAaPMSmlur3Y11Uv7NoehDUgp25W3Sk6VlZKvp/ecRbur/nrV5LyCNPAtD491UExcdw4nMx7obMm6DYC7QsDNp3OHqndNM5mSKEguEnUtvVRzE+fP2xzl0qb/Vajn2Qq2gnjSMTlHZiPutg3zY84oVgUvjOR/hGBBEwTGxclvoGXX21SZO0nOCOMPuleDbfI7TwR4Zcg8UqDk3ycHDy30KjPPinN+v6WEtfad82s1+K53efL1MCbuySG9sCZa+MYNRDS9u7cGngTCsjx5wjzVZ3kLd6LQOmjVHtad+/Wt90RXPoxD2pU3cGG6d1atiyTt2ZOpq/zmjpzJkZLNhynepDR3DmxtZy/BgNV12n3unoW2Q/lT76ARPy39eVKQ8t978X205g6Co1Y0dtLVlP5NovGagktPWVmj/LWy8BbQdGR+iOC5ejb3HWnjpaTCdJ4brKA34uKC3Tklfp5mRfQEcsI92F1r9aOx7tA9Z76oZpj+6Oox8i+qoLSua1M3u1vIRPv+rV8jrDBach7AkkfZOkGyMgCMw2HdMFYHGQSR0k5IYihSWZxAfaKMHsKZnsfdg7grN7HfGGO/Jv12a6BNqVoaXUs+ced1Q39Y7DX0NwmO6d2k3sbBdhKST4hgUQnjKv28/3BHKx11J09dbC7gznwm++t9CUcQjzfOE21tv10/KAa8d2V3x5+3KbuXDxo6tz/lyvDT2B9qB+rup2rv3tXfP7wqKvCuBZ183q1fJGfZzWq+V1hgvmgnI2E2nWuocoe+cW0l4+6PDaeYebG1uXb2xLBnJsF6a5t7YZgrQc0XbJgyT1nJcUcGNi1DVni3nAMWFONM29VZm2vb58H2JGk20VGvVxm/5AmkYrqvUZM45KxJx1WGWlpL6m3TukReGKFXPwHjdew3lOO8FILu5pyzfy/sPpvDIrHRDBp9NXtrFLBNh9t72WqzNtrtRk7x63GF4RpufuJOLpCVIWClcHr00rlTld+eieI0jtmTSf9iU0VVYTaGcx6a05J+dPumkSKQlt7wg4vlcdrOX7tJr1vkAh6cLFia6uE10VXI2JY8Hq2HXBEQrf+YiBt/+o8xvPApUrHj/nGlyvTWvU+ngu4BK8XXCEC8Fc0pu4YBrwmud+o3OLOJ7yCK0Wd8oahJ/cBM/vdIl4vOvLORkinL8GffZnjKPH0XpCBOlZW5r5+jfCF3bSA1Nw+/Ev1bNunp5YW1tpmiOC9Py/S8N8RvgbfzHtea4K3I+bVfj3BhQcVnRZzWeKaZp7q0po8PLV2zgz4FIC3lgBwO6VO7jsUZEm1mJuJj35NZVkxL8kB7fKMrUQm0+dwnOcqHtTaAyGrz7BY6IItKsLG0S6aRLz9wt3hoarrut0sdEmiJDBKXeP2cfLhyZwv1n4MVqHj2GDW5ufW0r1G4oGMTx3ly6QROuj3HjgOwyeHtTYErr8PvgFXp22waG7QO3AUfgXZlE4TARWDjy0Dnz8FB1hwYAphDSKAE37pELyd3fcDPbHimDExI2PttsQ/9Ui/HX/z+N1nTbGWl7CV3esBoSAV+MTQegaEWzl7uNF89WiTL/T3+s2zlPxVzOw9Ds8qm1+gZogGZmIZ3SEaKOM0gEsbP6QulBNohsbdo9brEvEUxY3Ba/mOuXDnhp8pxo3978Xy81PJzEwSwTpRf37PrwjQlVGyJagCFUfc2YGxkGDMMeJ9tw65R5dwid3Pz+VVEoKqdLVqm7iXBVs3H/SCDZNfY7kEyJpS0v8GNysFuVrbopOJMDmt99aXsrP837J40uF/+O7u2L5xbFf4JM0G4BnC3/Eb4aJoLHqwGjC8/djtfke1/YbTrppEkdPiuVmQD93/H3a2lvb/9J9SqafPpZVqkzNnWnaUoOWClcewLLjK3bMXEVS8duA3h0p3TSJuZ5fsqlZBCInN76PW1O9TtPmzNRtzyKiTTDkyE3DHto5oHUT2zT1OeYa0zAb/QERWyG/tW7nTowLf4R1u2hfresS6NOEH8m16ALgCofNYOARGwuTjULVfh5avYQf/8/SknRtDaix+kzlEh7ot4bafsPVswssnwBQHzRQ1y+pQUuZ5bcDjy8/UN8m54ApOpFTHsMZUSmCXBsC+uFjKlZj296St3vcYp0i4eank5jxsljP1yc8oVw6apJ/SvCXb6m9IGZOFMPv/Ymqj2wnaFN8nL5WxMiENRbSYBTrVsaoRdRvzeZIrhifD4a+2S6Ji31/a4PsrW4GdYhOXV+sDvGyj9QaWlcLfv66b9UmppOJ16Dz9dG+zeS+9fjSBvaXDNat2x25VNhThmrdEeW3gz5hkzNofcDlmgnokmhpf0us5i6W8Jruu6TP+qjcT5zOS/tEPNpEb8u2LeCK6VFMHCycyd2w6gIU7RPeWctLWDdEBKfO8tuB7+nvdXXUzj37tUv7Pfa/tXj46M08Pfx99Z0dZljVQCZaOp9MRn1VA559vWN61p5i5Idf9mp5neGipCHsyMxnrw1zltwEHGs97H1Wtb+3D7hdRTsDHP+H+PfQX9yOtaQIt8iOubed1T9v9Vr6TxoB9NxE2NsmQGe+u1pf4q68U0ZZX6gI62cq7uDmzwQLSuySGylL/ZySX7+s6tRV02Zv0qh1BEeWga70qzkzQ/nQSvRE65W3ei0H791wQWkZXfRx7dHRRt4Z+qJbxNmgavMWXQZe7Xp+Mfnr9vW6nqv6dWaxuhA0mS50jL4qgB+50XG8XE8xYu0XvVpeZ7goBXC5MGgXXmf83RIdcSt3FhQFNspCu+e01wBqnxQCeVcSxTgLgupvY0240OiKadZZQKZ98BqcOxNid4Q12fcqJbsm5X1fEVK09ejJt/X0fS254lDlERff7p6zcefpKAjT/r6+LIycrwPY2YzDi81PtqsBnI7Q1XHlggsunD36qgD+/c1ze7W8S97f1KvldYY+60DzTMUd7bJiyqx6xz7IBWD6yvlMXzlf+Q97bVqjFvVjH+Ry7INc+k8ZxbEPclXWMKlpBjgxdD5YBV2RNBnK+7RCx6x1DxHyyJO6zH9ak9+xD3KpffId/vq2mb++baYlOBJLYZ4qy5yZobLoAaqe2syf/SeN0PEFdwSZCdM+Y2hW3CKaMg6JQDkHGdLss/w5gjkzg5bgSPXdHWVak3WV5Uoz4dDQSoaGVpIVt4h8z3j1dy26k9VMoaEOGuowRSeqzGiOhA3pliOhzcaYlrwKy5efYvnyU4wJo2kNDKM1MIyc5EfFzTVVUFPF7Jfa11nCWmqjTKyrdZgVU4fWVoeZXbWQWf72xtyiE0YctZs2CyqApeAUloJTxCyYpr4zLXmVGsPyu519j2TVsdQ3YKlvaGeCbj15QpcR8HR8kupvc0SsLoMlNVXqW+Q4k+PaPtOk/X+A0yy4nUGbwVSLQ4NuaHefRLvMpQ7GuTb7nuSEhrbxJa93N+Oitq72z0oaVNBz9FoKRfyGyizrAJ7r3sZz3dvqt2zbyi/S1Fh4MNuxwFq1eQtVm7fo6tOUcajdfdsH3O4wK6GzPnSWCdVRRtOOYF9O7JIbdUoYCW0/nqsskGebCdMZ+krWShf06Mma5IILXcEF04AfP3GCd3fFctWfhOA7+dl7dFowU3QiXjZub2NpHi3BkXw9TfjrRWXuYHjlDgyZewEwBAVjCRfuHy3f7cY4MkG3SDbNvRX/g4JepmpfBrVnqgCIvutWmg/swzhWcEnXfv01FccEfWH/B+/HWHJKJWeYfOAtKlc8zsCZEwFoNdVqAhPns3X5Ruq+EYklFnz3exqSfoT/PmHOaB0+VvnUlsdNJmBdm/bfOGQIrcXFNBYJoc43aRZuTSK5xTMVd/Bg6Jucjk8CYEBOOtsH3E5/H8ExHbPuGermiWBJj9YmcgwjGfjCEgAibrmRvxTdqJLmpAbfSWSA4LhusRiY9OXDVKWIrIc+5hol7I0o+hJDQy3mLCFwlC76teJHhbbEHQAtuTkcnfkAwysFt251yGCa3H3JbxR9MbnkY2oj43XPyU3mneOTuXJEBev3CT/0GyYXE94ospd6bVrDC1F/YeEEwbu7OzeMJbymc2c5FS9MT4dKB5JS/QZ7YwSf9yXWwwQUHFb9X7dgCSGZYrM3jZiKxyercfcRfN1aSscK7wFEpT6PwVtc+2riCi732evwu0uHXE7EiZ3qWuWgCXi++yL/HCmySd49Zh9nvAYDMLhyH54VReregviZBDWWkGkVft2tVjfl1mSKTtQFTClKSFvQLT5+KkahduxM/EtPYPle9FP6PR8w9YmZnN4tfBVPbihUlpljH+Qy8b7J+MUJBl73EWNwaxQJpmQ/S3gEB9E8bjpeJScBsBq9aD4gfMkNV8yiwT9SJZDJYwhjTn2g2vpkyu8ZnmFj2PHzpzxuMsbmetWnHpOuwFAu2iJ/9LX0+1SwGB1PeQS/x36s/LNN3uEENJaxvlTELAzvZ8LbXfAqKy10TZX4f2AwoHd10s599wB/Cr8S/Rj86AoqvYQ/bmhTEV6fv4v5auFL7F1bikd1qUo5biwr4BWziCvYt/sMN1wbSdI39wNiPTlkGctgPxEDYLG6Y7aKNmmyGBmV+4lKpiQTv8g6vZvwVxYXCv/79aMeJz6sgqGpIq5EHb5sXP7mAfHc87EYn69O28CWyMWE/mIaAEP+/TfqvYLxbRLtoLU8lVcbKK1oUa5XWlo/ey35qfirCW08rdbH5jNtfPyKOtS2RZhiRuNTW0JDgGhDrFY8zWIceZcIpYj87l3ll5BS/Yb6bsMVsygMHwdATOFOyMmkbLe4Fj55NAwdCQbhn140cAL9SgVta4N/JH67NlDwpZgDcm7U7WpLLPPtH0WOh/qt2Vz58R1U54n1KiIxDp+JEx1+t7W8BLewSNYYhWbvVvNrnIwX2jTDIz9VLocAV5x+hy2Ri7liy4OqXWR8woMhq0lLeUbFX9xTuZxhoyLY9O52QPAyy7FZ2eRHtG8pg3K+UO2ZXjOR8mqhBwsLsijfcq9Na3g34a9cHyM44X2rCnA3VeIMWgvN6fgkqlqD1bURxV/Rsme7+m1MGK32lPBPX1SJeBy5feStXqssu/Hr/tjOYlg7cBQg5s8uv6uZ9KVI/HYi5Q8cKxd89ynVb6jEONo+cITsIddypjaI2iYxFmSSG61SRe4LoLc2ay2GhcNmtOMqN0fEYizNa/dOe3Yw46hEnqlcwt1j9qn6aq262m9JN01iaGilStImEwdJaOv9YOibLNu2QPGAa+M0nFnY5PPaezvC7Jfiz0kinr6qAT96a++yoQ1f83mvltcZLkoXlMZ+Q/EuPq77m705szp2HAB7x9xGv6mhJP7+p07L68gUKk2djvxidWZQgztYWts9f7GiJ24HfcWNwx7KVejIl8TmfKl4ymlpPitqxJ6Y0DtrI3tXjPPF8HE27gAS9tn5+uJYcMEFF1xwoXvoqwL4sdsXdH5TNzDsnfMbe3DBXFAcmXVSg5Y6NUM3h7XxbG+f9DPSklcx+6V4ZVo3JozWbfh7x9zG3jG3MWvdQwyd15Ze9+ATr7aZzB3UQ3sN2lxZ5u64j6y4Rcqsmxq0FJ8QP3xC/Jj9Ujxln23QleHMnJgVt6idGRpEauSydV3zP9KagI8NTebY0GR1TbrI9BTy22PnDlDZRJ1BfqNskxei/tLunm1RP2Zb1I+7/O6OzLt1A0dSN3CkYl3RwpFZHGwC7Kf3M+vT+zk2Yg7PVNyBacsWTFu26N6lXFBssHdj0UJG4duPua7APimHPYKH9Ne5ZUgttiOYMzOgtRVsqbmXbVug5oTU5mnhaGxoBW+tRcAZtAwEs1+KpynjkBrL2gPqpqnPkRq01Ol4tO8r+/nsDJ1dt8e5Mh/3yIXqHEM7buxRP+AS6gdc0qNnzwW6036O1oTO1gromkvHMxV3iDVB49b2v4pz5VrjggsuOMZFqQE/+sLbDL/3Jx0G+2k1uI4yZEF7bZ92wXZUjvYerZuDpFPsqjB2LrWavRWc1B2NaHeSCHXlnc6yZsr3HHVLYLhVmKi7w16SlryKUT+5hOYGYeKXVF9dgXQHkvU8V9rd7mZzk23WWSbMnsLR+50FPJ+rgLhzNV/OhlnkfEOa17trkpZoOnQAAK8x43q5ZucePWXFOZ9sOhdrUKiLceTc4YdkBeyrGvDjixf2anlD31rfq+V1hotSALc305szM5Qf281PJ+kSdfSbcAnGAf1xC4tU91d/lQ6INMZawUqWDW0LaX2U4Lz1LTrK9gG3Kx83Y8JoGvYK31KfiROpGzgSv8Jsp3WWmjtHqaR7gwHC0WZj/23dKacrAnhXhILzRUPojAHiD8dvYea9wsdfCnHaOv3HQywsP27peDyeKxYM+z7S9uP2AbdzRdEaHT+5s3FUHzWcsj//Sf22T+fdVUi+XsmBfPNnyT0am/I7jg5JAWD4iVSn90pqSy1vcEf16+mmptWeO0vp3leZRBwdFs61gNlXhbPqr9J1KejPBw1hV9uiO23W15l/+nr9OoKWLteFs0dfFcBPLEnu/KZuYMjqdb1aXmfoMwJ4dzZWeW9HQq29Oa0rWkRtYiBtsAnoE0lISGH9ztrfnfVk7w0f3M5gn3zDWT2MCaN1h5SzgbPgj/MFyQMPQku8/61MnSZboq9oKs5G27ts2wJOHDgKwNzbruDeogfUtRei/qKCikAjYLoZupW5T4ve3OTSklfx53mvAs6F495+59ngYtKe/5A0cXB+vqe7wue5Wr/Pp2b9fI0TFw/4xQeXAH5u0GcE8M5g70pgP4HtF0AtR7dWG+hoYe1IkNfSXLV7Z7Zwg8BiwVxlwv+KqV37mKZGlVrb/j29ZWo/28W0t+rTlzSKFypl+dmY0LVZADtCZwJDZ8meOjpwdZa4qqP3no+DpQud42J1kXDBBRcuPPqqAJ575zWd39QNxL3+Wa+W1xk8zuvbNHAkIJozMzCOavPDNsWI6wEFhxl18rN2wVySispv8mQ8xws6Q2vhKZpLStQ9/SeNoL68Tpm3b/5gFTELBdWWNe4S3E5ks2GGLS140HP4Th8JwIz0/0fLrq1Ke9o66zooOqZoCaevnE9LvUjJbcorxt3LyD/KhCvGz8fvx4qBgP2CbsrNxwf8RZpjSac46QFBseb2418SkJ+h3mMpzMMwsH1Kcy10KaJtqb5N0Ymkmyap+sdlbyGiKd9hGuGU6jd4puIORsQZ1G/pljGs6ls8jh7UpTXXvVNTnhS+7H3Atb70u8cJmsT4Hw1m0J03qWv2qXS7IqS2BAs3IlNQDCGn9jm9T+vWYYpOxMfURq1mrxHvd1ikWU/c/yrmoiJqcgW1XHiyCGKUbaajl6qpgsBgNT79KvNp2bVVN54z464DYOSZzbq6OfpO+Y5hYeUUjpqmAi/7T8pg5hePQZMYZ+bIQRwPEAHF0ebjijYLIGbhlVjLSxSNXNGubAbdeZP65vqt2cTaNLaKxxyoPpiF+5Jf0WrerO6dkf7/MNRWiXdmZjDjlVt09ZeUlccrQlj4i0DMNoqz9VOe57q61eK5wwcBMPj6qHInH3hL8e1LujWwpYXvILX1e153cUuTOLDnv/UhMYuvp3a7oPdzdOiVY2z3uMUk/eNGWk2Cq33DZc8zK0jQuuV5DiPhxEeKhtFj0hUY6mscvh/0Gm9HbkOnPISrWuLJj5yW4QjrgpeSXKXRpFutpAYL+sPkEyuV65ylMI/1ox5v07q7GUgNvEO1Y0dprA889goxl+mDee0PRq15gkaw4rtsIq4Va2VTxiG8Ro9xmPDM0XugfRyNfFabjXj7gNuZmvE8X92xuu3aqETVF9pcCAH5GZizDlNfVAbAvr/u0eUnsI99qNq8Bd+ocIfXOvp+R/uRnMMJuR+TFbeI2P+IsrRjTj7XE4VFS1AEHtWlDq/ZW1i6o1Dp6YG/s3c46nv7QPb4dX8ERLv2xPop97GefrsWHVmpzJkZapzJb+lLyiIXugY3g9uFrsJZoU9pwDtyCTBFJ1LvFQxAv+PbgDZf3pjmHJ0wonUlaa6ppfz7AoeZMA8MuoFxGh5jw9SZmNa+B0DQNddgaKxr557iHuAPgGX8NNj+JQDH5v8e/8dvVzzGfuWnMJQWKqFb+23GhNEOfdi7s8BsiRRC7YySt3QZNM1X34zxi/d17aBdVOS/Xz40gRsnn2HAp39R90mYYkbjV5mvBLCuLOayXP/SE7g11VM8VHAV+zZVqX7xHD8JN3Oj6rPjFSG88KetyurQEhSh+IWdvs82VM1ZhxWbiKMF1l4A124WHqEhgjkEMEQPojVA8Le611SIw4zmHcaE0Q7922V/afu0+qt0DIvvaVf/zvr2s8ClLDCIwA/JFa/lojZnZiiGFv/Hbyf650I4a9m7A2PCaMULTlQslpxsWqoER655wY+pXCH4pmOX3Khz3TBnZlC0S8QrDFp8Hebv21LYZ6/dScJfH2GjVQS3jH1hAbGLZgJgqavDMDCW5lDB814eEk9kcQb1m8RByv+KqVi9fAHIf+VNYpfc2C7DqzxENfi3xWSYvMNpeeSXav78N28Kdxlec+gTnh8/m5gc/aHGvo3t1wXPSPEut4h+unsc8RprNcVSgDiSa2FEnIHkRjG3cqJnMuz4Ol0sQevJEwD8Negp7g9Zzc4BtwFw+el329VV9qejmIKW4EhO//Xvor4rXlHfKoUJaXUzjkxo96wzmDMz8AgLBWCl2++4Z+J34vCOWEtmlLwlrHKgs8zlv/Uh/SaNaPeumpixAATmH1RtNDHiBFE5X7d7t1YAP7NHjLPYJTdCbQ3mU6cAIXBrub61UOukbc7i7q6+CcB89c3sGr8EEMJv68kTtNYJbnJHboP2cBZAbr/uHR+6gEHlIuanwT+yx0KatlyLf7BaZ+2v2QuPTRGD8Co9pSurq9alru4vPXED1aIjgdeRpawpYhBAu+/qDTiK2ekojkf7PfaKpXzPeMX7Xbni8Q5dTs9XxlxnOFcuen1VA37yp9f2anmD//1pr5bXGfqUAN4ZTr3+XwByPjrJrHUP0RzSHwDPyjMqU1zBl7vapakv/XQDDZViUV4R/4ZuQ8+KW0Rjq0iicWnef9stamfWCpNE/xuvITVoKXN33KeuW4pE4hjDgFjMhw/qNTd2mmetpoqKMmpHXwmAf2EW0DkDSFdxtib/rrBudFa2VjDpqlahK+XKsnxqS5Swan/N/j2tgWG4nxTJaSr3HiTk6lm6NupJkKisq3zndQ83dhjU15FAbq9N1brJHHl2NZaXPtHVzVn/OjrULdgiNHhdWZB7I1jW2aYMXdOCOXOTOJ9sFhcTutMuMmGKXG96o8yzQXeEPfux3ZeDAzvyX76Y4gY6w4UWNF04v+irAvipZYt6tbxBr37Sq+V1hgsmgK/3vERRBAKMy/yAuscfdLqwahfs3FffI27xtVjKhfmuKOkOBu6yuaeEhmPOzKB4nwhGqzpVQeSo/hx+Q2j8xt9zKf4xQhN2T+VyXgpZqd7haEMo/VQspt6/fIiAgsM6IaHmm60AeIUE4RkaTOFVQjsZVXqQhoB+GD4Uh4zsG55nQokQ5GsjhlC54nF8QvxUubvHLWbygbcA8K0uVBnPnC3YMotZQGOZznwWUHCYxgPfiTrFDNQxv8jyQAhDFm8/6sKFWVq74aYlr2JW6oNYS88A4BYZpStj54DblFbP6mnErdmsDilBv7oPnzNtbBbPWn9PwHiR8bEx5zje48bjDNpvld/STqi2DVVrWQn5678B2oQ1ZwK4OTODxvIqAPas2kn4xGBGP/1bAAyNdZ0eEJR2v/gobrYMhSUfryfyuvb0R47K6olGQrbfPwb+DUt9Q4eCijyURs+cSGtdncrOCs7N4Y6ELHs3g/vfE25QWmGiavMW/G66DXezcInBYqEhbROWG/8PEN+t3MKmTOny99rjs8ClXFPjWFCp/CKNkKtn6dq6JTdHuZl0RLMnzdtg0+x3Q4i70IeAsxE6uxJsLA9gA/51L8Gz2/Ps9xTnwve8q23RnUO9NgOtw0Pz2Eux2tz95DrgCD0JIOwtGlct7BU6XXWRuVBxMq5Ykb6NviqA5939o14tL/bl7rkQni36jAa8OxucXIC1G4vOvIlm07lqPi0bP8J30mQArCVFSqhMDVrKfLf1fOkmBJ75laup/CINgP1/26ejM4xdciOfhy5hXsXqdvUxZ2ZgHDIEfPx0f5e+ttmTf6ZPw9tQh2nYlLbfoPNv72xz6QoXcGfaSGcaDNlu8gATs/j6DuuiRWNkHN4luSqo9XefL1MHi94QXgrihStEdM5XXX5G6xMKYpxYLWLIGzzc6TdB+O5KP05Z35cPTeiUwrEj7W5nG4r2emd+tR29s7doHjvaoO2vyXdq/T17gs7aqKec1+cay7YtIGVhv/OqzXTkgmAPe2FXtu87o/7KUrfuWxydxSv8ULS40Pt+vz80xpm+gt5Y57qjtXf1ox4uAfzc4IIL4EeeXQ3AiPuX6Bb85tAopWnT+skBKghOagqfc3ukfTCWzWcwNfSnpFS9Tu6/hP9mw5/foyhB3Dv5wFvke8azfl8QYLfR24Rkk7cQ3gIay8j3jGfkXkGV1nymWGkbJx94iyZPP8Jz7XwYG0X9TyfOZ8D+T8TfAoMBzcJ/Opv3PJeoILPuatrstVtaoaYzHvCu0DjaL0L2i5i2vo7qrnUT6ghZcYvUIcU+QFOWLf3JjaMSdQG6HWH7gNu54vQ7gGD68OkXpvP7tQ/EkaiOHUdQ3gHHhba2Kl9Ubf16solr3ZOgYy1YZ1YCrYZXBtpC1wRYZ4eJjgQu+yAybRbBnghp8sCq9dW2R082xq5o17oSgOb/XZqufo7iK7oyBpzV52yFW6ft12zmGZOwUnQ2FjpNOGW16uZedw6aXUVnc0mrpdXWsTtzsDNN78UogHW0njvD+TxQna+cEB1BttHr/n8+L25MP5QDa18VwPN/0XUFYVcQ848Pe7W8znDBBXCFlmbw8OzSs44WT3tBryvJGbpibuuKCbU3zNP7//AyAJf+6e5O75WBbrURQ7r13u5owM9m89FuBPba07LUzwEIT5nXaTnOmBrqp6YQcNqW9MjS2uV6OWKY6app1lparASbis83Ezpvdpff2x1cKBOwPToaB9aSIgBqL53Tq2bznuJCu4e48MOHtaSI2kvnAL3PkqEObye/6/Ie2FVcjAcJR2gNDAPAvab8AtfkfxN9VQAvuKd3D1HRL63t/KZexAWjITRFJ/LyoQlMe2wCAN6fbWX80bcwHxend48Jl4kkIQgNeHn85RxIuAFA0bRpy5LaUdPcWwnIz1D3SAFrwDQRiGdpavPfs6faaz15gsJ0QW8Xe8NcCAjm2AdC6Os/Sc98UXnNz2l69F51zQyKmWPujvs6DKY0Z2botOd+uzZQebA9Bdob1rtY6vYahcOET2ZkWTY5IVOINh9X92QPEVHA0ebjOhrCyQfe4sOCKaTE2XwB3X2htK29oE0gTwrYo6jlRmnqKC4upMmrjc2lziuE0M/+AQiar6jMHUpzDVDjE8G9fxgs3hPgrfrBnJmBZ2QkXj8XyWGWvRfLDddGcvCYOP/dPWYf/qWCSaLVx5/nT8zntkUisParE0NYFLWLfI0GpTFSlPu3rCt5KPxNTsYL2sDBOZs4GT9XMbw0zb1VfVt85h/Z+rNVuvETlSno7Ew2xgyPicI6ss7zBmYEtrULcYK5BSDpp4nkeUcR0igEUTn2Ds8XLhnDLPpAN62GFGBP06XMLBWuLlsiFzM0UJRzsDSasTesVYe+Yx/kMn3lfKWl10bjBxz+mtaYeApffFXdq6Vn07raSKqmmJ8JjbhbU72qizkzA4OvDxYbpaa0LgTYrlt8AjA0mADB0NHgH6n6Idi9igANc0jII0+2WSlsrjVqDlSUYRqThE+tCJ7d5TuHeB/hUrG7bBjz9z1MwwwxvwPyMzgZP5eSRtHeXx/yYmpiCwCNl45l1vqHyXtDWLTev2Yd9/t8xP5YQbl4ad5/lYbW6/N39T7x6x/GNHCU+t3k6Uepmzi4D01dgTFhNKVDLgcg4sRO1hjFpnPkWAPTJ3qS1CzKOhZ6OTVmX2K8Rb/5NtdQ4ykEhK9zY/lJ62uUxwmXt7CcncJaYlvL/uO+lNuMor1ODZhKeGOBarNNU59jYevHkCOYTlpGX847JULoW+r2GtlDriX+cxGzYm1u5njKI2ot0I6xdNMkTPUGbjjwG/Wt0kWv9sl3CHSvIahR9MNhyxguL3pPtafkigcwDo6jOWYY7pnCQmOIEuw8MuA9e9q9BHtUAYgYnKAQTIMEQwpubvhWFZB+1e8AmJDxHlWeEQDUt/rg//jt6j2xP5qDadQ0PM0iUP7LpiTmegqGqSbvYAKO7CDvg00ARM+ZQsV32QTGDQDEGuQz0EvUIW09g3K+UIf8g68cUi5lns0NNHv66BiRzuw5wvcPiMQbc06+iCVSfJ9bfg7rhixnlq+g12x1N5Ift4hRh/8DQGbiT9h9QrDK3BCzi6r/9yT9LxNMMb8suY/Lr4giwE/MvSv7H+FYo1hvgr3qqWryVRa5rLhFVDT609gkrGkNYZOYaxRWluMB49l7KpyFMYcA8K8twlhWoNpMq1k1Z2ZQuujXDDy2BYDCYTPwaRYxEdXx84guP4B1m2hPj6BADL5+FE4RgkvEJ39TWaRfDPx/7WIorKXFrIsX2Z8dUQN2lYbQ4h9MdoTYxxJyP+ZNt7tIXn8zAGELrlZjd1/zePyNzRTVCPrScL8mLj/9Ls+dbEu4snBCtfr3qNxP1HvGRhQQmyO+M3vItYw8oWe0aIyMo9ko3ER1+RWqyiEkQlGnul05jyMBl3GyUux7Ib7NGN3F+tN/xfXk//4TQr1F++aUhxLqZ6aizqjeo22nN6x3MXlIBQCxzcf4snIyEQFCBpl+5j/qvsJhM1T/QZtSQe792msg3OCevUXMw/vfi1X/Dig4TGrQUoaGVqr2AecWTmmV0N7rwvlD39GAozd/tgaG4V4tuF+rB43XuwNIbXlNFQANOcfxuXSCumwtL8EtVCz2O+7+GxN/PRPPCOFK4hbRX/HsghA+W93F5PGrOa006A1792KYfz1N3sEAfFU1gf2HGnkqro1WrGyd2BQCh0bzzojnuCFGuKAEFBxm54DbmJD2B/EtM67Fp0QI8lhaMUUn0mAUkzuiYD+NodH4nBGCVXeD9rSUawFnvhdtQ5uriHaCSchFSzK65CQ/qpt8NTFj8f5cLA7d0Z6UxU1p54bjjH0hK24Rf33brFxNWoIjadok0pWfuuXPDimkhlUJzu5Gv3C21AhXixmBexwedCSHb8bpUOXeg8GdprBozF5CvLzu4UY+eEb0g3urmXzPeN2ClRTguOyqzVsInj1DUep5VJWQFbdI58ok3T/uHruf+9fEqO+0tzzcs/da/rxICFEvH5rAg2Fvkxooni2vNrDEsFqn5benocuPF5r4mJzNouyTtkQCVksbxaKpkmcq7uDSxeIZLZ+z16Y1GIfGY849oStXLdhVr5M1RLSlrLccUxargeHrn1RjJCtuEb++X7TX3Nuu4MHQNzFHCIvDW2dmc/Og3bp23FwlhNTral8Xf7AJqTIzp6NNw5yZwe7ZK5lW1LZ5YbUqPvyuoitac3uXmmNDhRAw7LgQ2hy5V3VLG19VTuH6r4kYNwwQAviRXIvqp6jMHarNvwy/gzllbzrdkEGTN8FGMajlsW4OGwjA5y1XMz7iVLs4Cvmt04IPKY795iNZeI4YpbuvNS8X9wgx7rMTbiO+Usz3oudfJOSRJ/E/KMp1C4skN34eh0tt8Tbri9u5lUkKzdahie1YjbT4JOBOFpled3jtdHwSA3LS1W8t+8/GR2upDxB99E31+G65AnTkOuCoj+1dkKpjxwE4d2NzBrs50FO3jXPNKHSxWp0kgYF2zEg4cyOzF44vJnTHotqRj3yf1YD/6qZeLS/6xf/2anmdoU8J4N2BVuvtERpC3STh0nAhFoWydZs4+PJBpW3RcpKDPrFE4W8fYMi8CU6TAGj/5gyOoubN2Zk0zblZp+FxFoQ5d8d9bJr6nI5SUXuP1idZ+eQfEQK0/YbsqO7ahcyeR13CYRKmToT94g+FgN5kajxvNGSK0eWWvA7b9n8FcpxB7881NcZGJmI+fNChb6+zjd+VRMOFc4raGl1eB2f4X14bziVc8/vCoq8K4IX33tyr5Q184f3Ob+pFGM7r2xzAFJ2IKTpRnUydIW/1Wk69/l9Ovf5f0pJXiYl41Xy4aj6GqGgCMrcSkLlVaR7TkleRlryK6q/Sdenkte8EYWKr27mTup07292jLacgfiYW30DMmRlKkLSWFGEtKSI8eS7jfjGOdNMk0k2TsMxchGf/fhgTx2JMHEu+ZzwBp7MJOJ3NiPuXtPu21KCl+G77DN9tnxFwZEenbSbfIxN6AEr41n6bPVKq3yCl+g2MCaMZGFSHMWF0u81Can0qVzxO5YrH1bd6jhiF54hROq2gvBZQcFj9B8JVQrpuyHdkxS1S/3a0QXVl04q44ydE3PET+j94v/qbfXZUENkFJaylxaoP5b3yN4hkGBb/YPVdeavXOixTu/AbE4WZXTeOyh1r8Oz7QnsIscfsl+JJS17FzgG3sXPAbeStXivqabWC1Upa8ir1TnNmBrUDR1G1eQtVm7eQlrwKc2aG7rp92RJSiyrbwr5N7OvcEhRBS1AEacmrOL7w9/pKW62qzSw+AdjDWXvaIy15lRpjWC268aBte2cbsHb8Scg2kN+mbZPu9Is95BojoZ0TZwttvVqCItS/reUlDtdI7XrkbO4ffOJVKj7fTMXnm9tdc1SOhP262ZuQ73PU7o7aUzs+tc/Y11E7zmWAv4Qja6CzurWDE+FbJQSyfUt3hO/ujLnu3KutD7Qf69o2Ol/oats7g6P53V042xclsuIWnXU9XXChO7jgqejlpApAbNYH7xVmSnvzX8gjT3L8zl/pnx/U5jdtSpgOwIMFwoWl31Tho9dYKfxXqRX3mk+dwksuTPNuI6CmCr/LLtOVC+CVnQkjE5Sf+KbSQRgGWGjZIzT3sQmjaakQflbf3Pk2AOULxHnG2HQGa2MjzTafsqKFTxNj0477f5fG1uUbmVhsCyaZmcTcHfdRnS8YDELnDem0zRLChcm70eKl04ZnaVxJHDHVysVl/b4grox2wmXrZsCvLBfDJbZsjHYab22/eEycCg0mJRhkj1jArHUPKT9ANCmaozIXOf2urkLy7zYFByI97hxpwrNPWEgOtT1jNDLxPuHqsPe53YQ8ksjMN4QAZc7MELEGgG/SSFj3UDsu4JSFNsaLAE1GTY12VqL6u0yCZ0eqcqtSfgZAs7sXWrHU7cp5mHxC1G+9f3ijSMtt41lP+yCX8fdcqtwrrtr2FzxkHQC/Q+m03iA0ADMSh7Plp++Azed5+sr57QJM5diOyMwAW/1l20jrDXabXN7qtYSNjFXlZFnbXD2kmT7K5v9q9fAAg/BnNQ0Yye5xi9W9MobCEbLiFjF9pV7A6Cl7gI7ZprUVc2ZGmwnWzaBM+9I6I+tkHNXx5twRepPlwGvTGtU3X09/UNXdLTTCodlc26Y1PkJgtz8GjX1kKWmLngdgll3wsBznxpgYQLjV2DMWdRSQ25FmUtu+WvO2OTMDc5UJ683LAGiye76z9jRMnQka9h1txtSNsz9DRrIMmTdB95w9e5PXpjUYrpgFCDcyi2+g7ju136ZlU9JCjZ8epIn3CA7q0jPdKd/R/fZ948zF8Vxq7x25NkilhX2+ClkXwClLVU/QWRn2dewJP7srQdH5hZvhguuQzwp92gXF6cKv2Ugl7CezfHbr8o2ETwxm7BNise/Md81+Q5FCzITfTGqXoKL6q3QAgmYmQV0t+Pk7LVfrz9p68gTugx0L2n2FtujgEyK4T7ZbV9DXza/SH067uGvdhbq7ifaEMaajNjJFJ+qCg/JWr6X2yXecLuj2mVm7UmcJe9/Sqs3Cx9FREpauMsXYB4Z1pV4XKzqbpz3lMO9JIheJzoRhuHD94RJMLhz6yp5yseJi9XfvTfRVF5Si+2/r1fKinn2385t6EX1aANeio0Wko8xovUnrZr+JyCC803/9OyGPPOk0MCffM15F/ffVFMq9AUcLlWRpsY9I7whnI4R0tXzgrN9xoYUae5yNkONMyO7rhyoXugeXMOGCCy50Fy4B/Nzgggnge7+vJPHkR2rjr9+azZjn5zNgmkhdbm1uxiNM+BG0lFdwdOHjDGoR2RmbXn6W+rIada97UDDNJUIDnvX+DkbdPFWXybH6q3Q8/AStkU/sQEp3iHTtgb/8Le5pH6s6GWNiaDol6HyK931P/0kjFJVbQ/ISgk/tV/Udk/UxEd8JAa7o828IuSSWo9f+CYDhjd/hfeIgFpOgSyqcdgcxOTb/y5oqGk/kYvAU3j9KC5skUpsbz+SqJC/tDh0tzZi/P9KW9fOOGxSjy7w9y/llyX38c77wZc/rNwX3R+4i5JEn1eNuNquBf2EWtQNHYbVF3Gs35OIPU/G993fKfWBwdjpDj29QgnSge01bRHhTI6ahE/ExCfcZy46vMCaMVswnRwxjmJjxdwBMiVcJU96gQeJZm0+l8qG8+maMX7yv2sSeVi2l+g0dHaM0k0th/fBgkREr8eRHOiEjLXkVSf8Qh56G/CKsNy/De7OIdG4srcDzBqGpPO0/nIGfrMQrVpjiVwc9QFhQm5UlKWCPSnIzMeIEYVXHKQgSgmmjxYuihKnUb81W90of+KZWT8bntflAtwRF0BDQjyKjoCZrtnpwoiJYPee1aY0yuzb+fRXBlwzG8xJBLWnxDaTs3fcACB4ey+mdWQy6TrRJY24eZVltmRKLDhYRNVYwUKhsn9HCrahowiL8G4UL1O5xi5m+cj4NNpeooJlJgrkkfT0g6OskNd09lct57uaTatykmyaxMPMJyvbYsrn++m0mHhUH69r9B/EfPUoxuJgLT9M091byPAXjx+4TocwbJkzhe0uHMHfHfcoN5JPAu3A3WCmvFu+ZGZ/HwVJR98v/czNeP3+AAMmqY7VgzsxQFKAp1W9QN1C0l9/RPeAfqOjFjNHRVIy9WtTH3Zt+uz+EAYNFP+zfhTFhtPJjNzSYeMUs5tbPjK93mAQpm0TGNYnYjTeLZvN/Hq+3M19rx/LYCEEnF5vzJZbCPFqqxDphTBjNn4sXs9z6Z1GHAbEs+0bQa746YS1Zo25n5K5/ivqWlunKDSg4TMVgMT5zWoZSbPJR1pGW+gaVCRjg6JAUosy5aOHZLGgovYuPqznZWFqBX8oirN8J9iGP+Euo/CINv4FC8VCdsqxtTfn4ZbWmOULT3FvxahJugE1egfjt2iBiGwDDwFgsfkEYzoi11xoxgNqIIeq7qKki7TZhkZu+cj7Za3cSOkTQPsbccSNpC58GoH/mTlrumK+uhV4Sjd+UKarPVHlA/lsfYrVYlMvj3B33qdgOyksgNFz54DcE9CPPcxjD1j0FtNHNAqSUv8qptz5m0J2CjeHY0GSsVje+Lw9X11PD9FZE2S+lB46x/xepKug93TRJ/TvPcxgGNwsWq5gD/SkkLLeNRcje2mRPeyu/N89zGLHNx5SlT85nucZ4bVqjaAj/HvkcnsPbaChl2dq5JSGVXvZMQc6UEvblpAYtVZS59of+7mrstXS6sg0claGl5ytKmKqzNDpSjHWUWMw+TkFet3+vltSgM8u7ff91ZGXtiIbwXKCvCuBnHvxxr5bX/5n/dH5TL+Ki0YBrUfLxeiKvW9ixBlJ+lpubypwJNnpDG5m/OTND0BPaBApHGfhO/lsIhVaLlfCnVuhcFiTH8Kz37sZaX6dS3EutoTTrB/zoBlp3pjuv6wWAtbzEoe9da14u7rFxHbok2EPLrmL/fVqqvt5CS3Bkt8qT7knNZ4rbZQvVUrVpcWTINYw48ZnD8npbK6xjkdFQSQJYCk5hiB7U7TK1dbTfLOUGCI77rCtlOvot3wXt06F35R1doVzrTtvbcxX3lbnXE8j52pGbiT0NoYQ9+1BHWvDuasi3RYkNUEcLqa23LWmTXBt7Cvs+7EjQ66v9bC/onW1dLyZmkL7cL52hL9T9Qluu+qoAXrz8J71aXr+Vb/dqeZ3hggngpZm7ejyg0pJX6ZLoNNfU4hko/K8vxERJSxbJXZS22c0Nr8/bTBnGS0ZgGjweaKMoVMElpw6Cu3vbYpqfoYLunE18ea9x47u4TxdBVe7HD1M7dqbuPq02NaDgMFSL039q7H2kFP8DU/yktms2mDMzMA6/BFPcpQB4rnsb73HjdYu9FN6u3vZbvEaP0flUa0/j2vfLZ51tnF1ZYKT1YdgNcefNlafxgLCWeI8br/7WkctTb6CvbqzmzAyhpe4m53aXy7dxnG+67C+6g4F2bJyKv5pBOV+0G0d9tc1c6Nvo6rjpqhBm8Q/GUFvV5fefF+GutgbzKWEd623Fwfmab675fWHhEsDPDS4YCwroubwBvkn6C4MChXZaJrsAlLuEnHwyO2DAoXQAmuYmke8lmBpiag5D+vo2Nw07QcmcmSHoCwFPUwUt/iF41IiIerdms05b1DL7ejw2fwiIhSu9309IOi5cKvAPVALh9JXzObPnCCW2Ovi41VN27YOENwpTs1FDodQ8bQ5ue7fiXSeSDFmCwih46V/UPSVcPDL9JjOqn8icZZ+VUi6e978n3vPqtDHU+glTp39oBB8WTGEJwrJQHjeZgITRGG3vXc1djBsjTN2p7xTDwl8w3yTaeEPIUhZUCrPZ1uUbmfLdzRibBHuMm82sLN85bNQEHkTcW1VcjtfotnpZzHW8Om0DJsRi2TTvNnUQWbDlOjbfo98APvC9kxvqRYINaZ4Gx77MhcNm0O+wcDOxeNSxt0kwiUzMf4+OkBs/j4GfPqParzk0Cs8TtkU8OIyMwdcD4GloZsSJz5S2fP3Q5QwJqSTGtvB/aXODAQj9w+Mse38wz918EoD73h/M336Uza8/Gmnrlw2k9xMLQ3xAIesyB3O3l/hOU3QiW+smqfb+V8ud3DJYmJalmTvddsCJjh3J+Ly1yqVnS+0UUupsmsbqSvDzVxlBDV+vw2PC5RjqRTumJa9i1rvC9J330ZcYVvxTJV/Rzjv3AH8Kv9pL7J23iHItrdQOHMWWWmG6Twrcy+6x4ltmrXuI1KClzPbZCsC2liuYsedRmqalAJDvNYx/fSpSaS+/tohyIhjUINxy5DyS+NeQ5/mlj2iTZyuXcOOnC9VcTQrYw6apzynT7bM7xvJErOizqE+fZeecP3M5bQdcc2aGys75122xyrffFJ1IummSMvl7TLqCXcEimc4g39MENJYpt6KUmjfbBXZLOsvkqjd4rmoJN3wi3MTqnvoPI098qubl8ZRH2LhfjMcjh0t4ddoGNoTYDqnW9e2sNafihRtMcWMo4+vSFXPM5y1XMyCwnglHxBw2n8xV80UmuZJMHXWhsTqXhYCCw2osn6wM5NgpK/PGVwEQ4VZMxIk2mlWtmVyasv0qbO4f7u64m8RBPW/1Wv55xQf8IUl8p39hFlYvX5r3i+Q72gReacmruGL3PzFs+Uy1iZebmYimfECsH5JRKHV9MSkL+5GSL5hZTKOmtcsWq1NUuLm10+pLZMZdp1xDTMl3EbDuNb6b+/8AGL/p90oB8O6JydTVW7gveDXQxvaidVmQkHkSJFKq3+CeyuW8ihhX9lYpbb3TTZNIoc3CJL9VlqONb7GWFuvKhfZrvYqhydugs4xpIftTvvPYKStHDosx98rI1Xx1x2rlbtEc0p+i51/U7YsdCbdNGYf4VbXIhKmNmWkNCHHoMuGsLEcHDWf3ruYutY/JjJYdCd4ypuc3PzHy17cFU9bky/tTY7Lwf4l7gTY3jTovMU/3lMU7dSmzf5f9ftSRi0x33GcePnozf5gplA4B+Rm6BIEXImj2YgyUllmeL1ZclC4ocjJLPlNHtEpNGSKF75k9R4iaMlJNfmtJUTtzqHbiOTOhu105D8/yQrVZYmlVAnhYxm7GnfqgW/W3PyD0FTN55aAJ+G1Y3eZec5YBrDIDn2d54VnXTaI6dly7DHMdbSKyn6b9eR5/G/isyjQ4feX8C97e2uyvoA8a7q67xfGUR/jVfWJB3zDj4y49K8di6DDRT/5XTFV/t4d9eV3J2uosI58jdDSfu/PO/xU48huFrgk/FzM6YxLqLGnTucS5DiD/IaAzYgRXG/Y99FUNeMkflvRqeZF/Wt2r5XWGi1IAp7oSgkJ0f+oqVVpXT+Jy8dYGidoHmUj/RtwMDv3H7cvqCnrLvaE32V9+KLjQfnRdgSMe5vOBrs6f/yVofeYvBjg77JzLQ0tvMQr9L6GvKFtcODf4Ic4JlwB+bnBxCuA2SHOs4Uwe5kKhYTWOTDjrcrsLc2YGW5dvbEtmgjCh1pwQdfL85cP4bBS+RVuXb2T4TUMJ/v3jQPtU9F0h/e+KpsuRsKnVajbNvVXHJCGxP/YmEjc+2i4BQtm6TQCEJ891Xp+T34GHp65+3z8vtLuX/PaODlPRdwXd0aaeS/zQNIrdQVryKjXOe/swoz0EaNvY4huoXGucweUj6kJfwP/y2uDCDxd9VQAvfaT3shADRKw4v8qWi1IA3x97E5fm/bfDe+zdSnoqtHWkGTRt3QaAV2hQh8GS3cmk1VOcr2QLPU233Fc3pb6m5eyplr6nFg/5vl3R4sA1pWBNJ0+40FfRVw6oXUVvHJouBquWCy5c7OirAnjZY71br/Cnzl4x3B1c8Dye+W99SP5bIkBLZo8DOBk/l/qo4dRHDcfiG0hzSH917dJDggs3b/Va8lavxRSdSGO/oTT2GwoIKj3fHan47kgFoP+UUSL9cWYGrSdPqHJOxydhzszAFJ3YxptqKxPA4u3Hn+e9yp/nvUrpkMsxRSdiLS3GWlosshau3MHulTswRkVRtXkLhcNmUDhshgqaC7AFX1Ze83Os5SUqwI/GBkqGTKVkyFRM0YmUDJmq6qQN6HEESdUGqG8yZ2aQUv0GLcGRpAYtJTVoaRu/dnamYpeQ7wTYFX0rpZ9uoPTTDW31spXZHNJfV7YWOcmPtqurvM++7ubMDHKSHyUn+VHVplpo+1vSFTpDyZCpglrSasVq9OZk/FxOxgttvPQdtn+3OTOD0/FJqk0shSLQjKZG8R+wwPoZC6yfYS0t1tXBkQ+0hGqvmiqoqSIrbpGuXwD2xtzC3phbKB1yue6a/XeuRr+AGNb+S/07b/VarF6+ujqpsdrUqP5tik5k1rqH2BK5GEtRAZaiAtKSV+n6T44J+TsteRVpyatw/1gEQpaYvCkxeat3yXJTg5bSHNKf5pD+6jsb+sfT0D+erLhFunaS7azjyG1sEP91Au34kCbcXdG3qoOBtg3s27ol53uHfSC/w9E4djbe5Pw3Z2bovsXRvJRrTuGwGbQER+rKlPXRzi1H5VhLitTaIN/VHBpFc2hUu7kOqDHnCLFLbtQJ37J+puhE9Zx9/8g+1K6B6p22dUOHhjrK4yZTHjeZrLhF6jmrpxFrabHICFxXq75drpc40PN4bVqjC8J3BllHbR/K93o16tvi4BOvtq1HMZ0f+h19tyNo26zyi7ROy3E2HjuDOSJW8PDboSdlqTLt2k0Lez7rs0VX2xP0bdRu3ThLtAaGOXzf6fgkTscnOXxGjhv7veps2v58w9Fe6ELfxUWjAddqsTtKKS41rYqh5JmFbH1wvdIOlq3bpHOjMEUnYvYUQo420YGE0oC/u4yW2OGK0SBv9Vq8g8RzPr9artfCuBnIe+N9Yn80B4CahKsIzD+oLreePEFh+j6gTVulnfSdabA6SnMty+k/aUQ7rbNW2+ss4lm2qXSfCU+Z12FdoD1/szaY7lz4FndX2yvrACLw0lwlGF6MwQFOg0070qx1xQpgvwl1loRBQpuKvm7XLjwD/Tt0q5LP+lXk6dw08t/6kJjF16vfeavXqoQ69lzeZ/YcIXiwEB4Dk65Sf5eoOioOLpHXLdS9W96jDSi2t3j0Ja3s2bpA9RY6mr/Oxpa1tJjmkpIO6+1Uo1xRhtXmZjZnzVSH/uDnwoXndHwSA3LSe6283kR3LXnnQtPucle5OODqp76rAS9/4qe9Wl7YE//u1fI6Q58WwHuSHltea80Tmd72vbCe4fMT8I0SdH3dnUg13wjKtcArp7e7dvwf7wAw9Be3YzlTiKH/wG6VrUVfC4LrSX3O10LVY3cbq/WccVj3GjRJo7qD2u07MAYH9Lj9+5Kg3Ju42DbPjhggzkYI1B6MLgTLRG9SnF1sfepCeyzbtkDRM/pOH9ln9j0XHKPPCuBPLev8pm4g7LFXe7W8ztCnBfDuoClC8LJ6lYqEA1KA3P9WJgtevYqEh+9Ufx92g+BOlsJGRxopaW70i+mP29RZiqGiXVbA7MwuB4D+UDeQ3tpknQkapUMuB+CEeTCjEAJFZwKJfZ16o+3PZf9ptfu9rXXryN+9O7769trSviq8n0v/4PMVcyEh2XF6qqm2T6R1vure12NAXHDBhc7hEsDPDS5oIh4tTNGJvHxoAvcOFwLvC0dntROIq2PHAdD4/B8JGTEY42jxm7oaJXjLTXf0XUIYHvZZMse2lRFr24C0GTS3RC7mcrZyX94T4g+hcbr6VK54HK8A4RfrPeNaUh6BD0a0pWiXfmaGnMPUHC/Aa87NAFR4DyDq02dVWVuXb2TGv24T90ZFt/vufM/4NiGxqhyC2/uvQZvgJw8MI+IMKpkFgcHtTOyzX4rnb8+K7x6V+4lKDjPB8zs+KpzCHVbHhyBzZgbGmJi2P3SikZV+5aNOiG+Qfsu1EUOUa5BM2tGVTJjOhIugVDE5ApIfpcYjQvzbwX1abu2ihKmMsgm0xR+m0u+Ga6nbsR1AZU8FKNqVzcAZl2KpF/7KZdf+igE56bokD7KPPIKDxENVImmUufA0AC9E/QWAe4seoKlCJD0yL76PYgaoZ1uCIthIsi4RyqtXrBdtEDOaycunKhee9Vf+B0tYKOtHCcaclNMvYrrkMgAqVzxO/0kjVF22/Ow9rtr2F4ojxLgfeGyLrk0EFV17oet0fBIBjWUO21Fezx4h2kBSccr+yYpbJBJfxIvrj6xeSuRDoq0NWz5j6/KN7Q67WkihMN2W5Ej6vhpL8xzWEaDRGKBLKiPLyfcUbVaUMJWozB0AxDQ7p97rinB+f4Zw4Rk9Opjro9sy9z5TcQcP8gbbB9wOwOVVqWBpFd/dWNdhmVrMfimej5/21tVDF4fgE4xv0VEAGv3CO6WndHbAshTmqf7NilvEUCqh2smz+c+3zXeDO3mvv6fLVVB27a9UX2hpWgdkbWfkiU+Vf610PZEuXpMP3Err6hcBcF/yK3y2foJHaNs6V3s4G9/BYm1sqapWLnAePl4Ez57R7lsdrSP2fdqRq5qje+Xe0BX3srM52HUn8FvOEZ/aknYJnZzBnJnRjsWqp7jQdLZnq+zoSm6BzuAod4gWP1SFGrTNM+/25Gd9Aq5EPD2EvQa8K1oZudiP+sklRN18bYfaIDlwXoj6C0t33Kb8vgvf+YiBt/9Id+9HfkI7/qO619uVU/T+pwCEjorjbwOf1R0Kmg4dAOD4tU9QlDCV+q0i619SwB5dZq10TRZFgL0P/Z2Jq37ZrW8/3+gtn9C+RA+X+fTrwhLiJmKPZ784RC3MzrKd9ZTT1dlBw36xtu97c2YG91QuB+C+XTcR/tI/KUEs/kUJUxUF4MuHJnBv0QPK/9rnqed0gml3Ms8B0GATHH382j3T1b7T+rL3hf7uCbo6XrX91lvc/Z3hbN7TG/Ow22PqBwoX80r38UMWUv8X0Fc14JV/+nmvlhfyh3/2anmd4YIK4N1ZyLQbnilmNAF5h9S1mq+/UcFjEjICPiA/w+kpPjVoKcknVtJ8phhwrE2RgtSmqc8xd8d9unskq4ZhYCxlqZ/j9fMHAKEBr1t2K0XfiBT3V+x5Be+jIiVu2u2C5eLK7SLVcaNfuC5dtrYejuqdFbeI+HV/BNBxj+8et5gZaX/k+6iZAJwedQWz1j2kDi3vP5zOi0FPA1CXchehmoDTZdsXKgHzZPxcoj5+hm2/+xxAl5URRMCrSt9d+AL4B6pNuOKpxxh050064VO68IRcPatd+9t/V2fuK/Jbht0Q1yNBxBQzul1Ka6lxbPCP7FZqZS16SwCT5eyNEWnhJ+a/1+6e802bqN04W4IjsWxPU797++Aos9ea59+GwdqKX6E40J6Kv5pBOV+oOmg1gefLn9k+Y+m5wvkQVDpady8W4bK3BP9ej73pg3EmF0Ofdrau/S8e9PoSXAL4uUGf0YB3Z5FwJJjaT1CtD7jTjbOmCnN+vnIdcHSfpD/0rCrhmfKf6O6p2izM/GZTfXsmFKAsVQix9kwijgQ2qU33GjOu3XfZlysFFa8hQ8DPnwsN2dZRmTt0QrSWfUT2V1cEci1/OrQdSLQWhaSAPUD3FuSzMqdqXIO6IiT11Pf1bOrYm8JbR/WX/VDrHUb1z5cy4v4lwIVLIa2dI+fLmnS+rVa9GcToQg/g4UnavD8BvR8oLwkD6qemuJhWnMDiLSxz3XHxcqH30GcF8D//olfLC/ndP3q1vM7QZwTw7qJs3Sb87xKN3+zpg/93QrDrKCX8uYISVgYLf1fpp+u3SwgjboPjqe03XN1f8dRjhD72lPqt9aW8auszeFSXqnK1i6cUzqQA1Pzvv+L509+o63mewxi2TpRrTBjdTniXPutHwq5kZNEX1IXHqfdrv6Vp7q3k3SM08rEvPUdAwWHl27mvtM1PXrraSJiiE9leP5ErfPeqcmWyIm69m4CCw7pDSXcFp6xV4nr8wonnbVORLijP3pKnO9ydS7/IvpYcSMKcmYHbtDk0+glGod4WFuS4drNa8JdZWoHjQxcw9LiYS3Kc2B8QXBoyF/oC+qK2uSUoQu0pvQ01705nqziIc/qePta2/yvoqwJ41cp7erW84OUv9Wp5neGiFMC7YvJ3xFEMQEszeHh2+V0daQK17A/dWeQc3Xs+aAj/Vxcx1U+3Xwuexj7dDqfXfMyAW6/r9nM9dYORAoPljAh6OxsqTRdccMGFs8WFsqS54BwuAfzc4IJnwuwJZEIRHWxZEiXO7DnCmT1H8H7qeVoam9XfzceO6h4zZ2aorIUgXCS0mc7KD5+g/PAJPgtsyy4pEZEYR0RiHObMDIfCt8wCp80YB2B194CKMvGfDcNuiFOMEZ3hmYo7dFkkHcFRJsd00yTlv+0su5ejrIFdhSxz9kvxzH4pXueC0huQ2dLsswt2BHNmBv0njaD/pBHkvfMpeavXUvHUY1Q89Zj4VlumUFN0ImnJq1Q/dda+5wKm6ERamlp0v7sKKXzLNrLPhOkMAQWHyVu9lpbyClrKK9TftZlQT/77fU7++32HmU57OlZc6B5agiJ6/Gx3xpELLlxouIRvF7oKN4Nbr/7XU/z5z3/Gzc2N3/zmN92r/8WiAddR7EVFQWi4+p0atLSdT7BWc92ZH1xHWm57zbT2Xu01ew1kO57wTuqjMneunH/O3Cu0ml9nbSLpuNpZDjpAV/yFe0PbLMuq8YloR7PXUd0kFZps277MTXzk2dXKp7qjetoHBXakAe+tINGL1Z+0L/e3C91HR+NZ6wLS19xBepstpyssYH1lzHfmttfX6uuCHn1VA179l3t7tbygB17o9jN79uzhpptuIjAwkBkzZvDXv/61y89eNAK4Fh1NZvs09fapxh1xpL5iFjSEPzO+3m4h2PewcMqPGBFB7JIbdYtexeebAfCP6cfW5RvVO5pDo/CsKFJ1svdvthQV0FJRqXtPX0tm0luZMKXfuXtNee9VrodoPPAd3uPG6/i7ZX3PlXDZXSGgfMMXhC24GoDqr9IJmpnUo/f+f/auOzyqYn2/u5vspm16AiEFEhYISSgCASmRUJSWCFwLgleKBb332lHRa0XxXopi41r4XTXiVVBU0NACRNDQQw8JJQkhjZBeNnU32f39MTuz55w9W5JsyKJ5n4eH7O45c+bMmTPzzTff97623g89ztJkfvW/3wEA+j08r93XoYnKYlzOFF2V0HizLhg6CkcOreoOOJoB7gjobl7vHtyc6DHAxVFfX48RI0bg448/xsqVKzF8+PA/vgFOQZPVAGDaUUIBaKsapT2hDonB8eELmZADpeqbnk74nBtuXwBZmwYAmRyLv/kJnstfY59pGQDgXpFnNdPb3ETLpdmzxtlrjrP5XN+7UT5kdIcG6Zq+I+Cdf4p3ndpfDwAAMyQ74+kQCg31oHvAfb43YkK3ZkipQ2Kwv46EVt1ZZ2rI34j8ih78sdFjzPfgzwxHNcDr1j1t1/IU/1iNlpYW/ncKBRQKhejxixYtgq+vL9577z3Ex8f/sQ1wOvFT5UgxY44anjQeudd//o7Wphb0uiuRHWPJ2yz8TWioco0PLisHVXq0CU0NJoInl94j4QSDnrnxscdcJHstEeUkdyRciJiNwVd+tvl4aoDF//ZvyNTVDu0p7CjdnPBdsNX7y5IwOZz2f2Q48rO3ho4agcJdv84kuXW0Dp2hURQL5zPXtx05BOVmQ1cJTPV44W8+OKwB/v6z1g9qB9bVeGLFihW8715//XW88cYbJsdu3rwZb7/9NtLT0+Hi4nJzG+DCbei1VYvwvN/X5INeZ3KsW9xg9hIXJG2B96srAQDpw+7HlO0vMO94Qs4qSDw8UB49FQB4aoE0dlzRXAMAkF85z2SY1SExUKRsYrHQZ5/aabJNzhXpmXXxLTTEEr7v6pWvI2zxPcyYL/7nVowt2czupSF4MH6tJ1SF8cp0nlKmtUlDOJEJDS8hhZ05g0NfVgJteQXvXFqeZMLt0B/ca/Kb8PpCsaKsmSswPP8HtvgJ1eYY27aiyOw90etaMxiPhRAjIkBRg8yK3rz7tIS60GEAgN/qRkDlVwW9niRbROVtM9s+lurTntCGj5sfxN9dTBVWueAu8hR7v2O7OGLXMaEobCPUXyWDJiMo5zeb6sTtY5rMDDiNiQN05B2TNtbxjr2mimey4ubUQrmfp7gdAgAmod6eHQ/aDss2h/EMROE70R2c2DdKiIcLsfu0uICoqyH/Uyn5WhLmpvfvBVwrBEBoWoXtmey1BP19ybGh2hzjbyKiMjo3T7xbRFh6hO1Bx0zAtufdmd0wWxZSN2MI0s28QOwMHJV6tQcEfxYDXPG3f9vkAS8sLMSoUaOwZ88eDBtG7Iub2gBvL3henayD0BQTGrXuCEFJTViD0Wc2Ytlm4j38bNI+bHe7nyhFAlBHjjN7Lg1doRNFbdhweBWcsXzBeoOR5OHJvhJOqlrfIPw+7hmep4E7yJ3pezd8V5CYXq6XI9lrCRLz30HqX8nzYbHzFzLJATodj3vZmnpkeyYUaxOyvpwoltbfMuWGTVCUDeVGG183GrY+p670KnKFlrgTMW/BcCGzW97xHvSgB3z07DD8eeCoBrj6g2V2LU/51Ls2Hbdt2zbMnTsXMpmMfdfW1gaJRAKpVIqWlhbeb+bg1OGadhLqkBh8em4k/nbhUQDAzimfY+I3c+DzqEFaNC0FOTNfBmD0VMq2Ek+ik5sr5KGhcC4lXjZ9QB+gsJCVy/XKpi3fxWKzhWiZNp8Xu434Waj7YgMAoOzJT6Ha/hZL4mxMu8ALzaBlA4RdAymbAJCYb/3VHCAKzEBWpGxiiwX6mZ17bD2cs9JxfcsvAAC/R4OYIfJj0RgsxufMoxyVtw1Z4XMgkZA1U//klXAeMYaVm9t/JpTv/AMA8ErAfzBgYyamgBiOSw/OxFMP1AAA1uYtwmOhp9D05nvkxCuH2TXitenQFF8zabOW24mxfkkSg0F6Mui2JX2ErEc+wMDqw+y+iuc8ibIWwlCjCiELDIop219gdI/7zyoQGS7FxTzieX2233ae4f2l/iGMiSDJkk8uO4+nXo7DrRFkN8JFozbxlnIXF9zcgLG+WfA/uQMAoCkp4T037qLp3fsK4H50B6QhfQEASXgIvp46LAkngjBZ4HgjJVJk9bsTuVU+pM2U6ZB8twGfDP4MAJCdVY7EWUQQatrhZ3n31RwYDllrM3QyOQDghPMEVDXIWTmKlE3QTSbP4lDsoxi/8na4RBODUx0+Ai5NBq/m77shkcmgN3jA21o0kLm6oLmcUAlqahvQWKkGAPi8sgLHhy9E/MdkoSXtPwjaMydJhaRS1Mx6BBlRc9gzUofEQOPsRs49spXVHf0GolWmQPEAklB5qqwfu0cAeLx6Od69j4SyHB++EKPPbGQe0bTluzA0ayu81GSh3KIwLh7P6YYheuPDSLuLPLfrlRJkDZiDM0UkgTcRx9g1AzIzyCKxkPTd5NBnkFj7Ja9O8Z5ECEreXAfJge3seX/34gE8/QBp69wqH977rJt0J578aTDWzyV9O0UzBSfOEU9ISWENEmf1YtdUR8fhXNtQ9HO/BgDwbCpn/ShxVi8k7yhl1wnV5vDe/wuIwagq4t2/2GsyQrU54EKRsgkp49YBAG53+R17m28jbSxPRYpmirEOURMYpSgAJO8oxYZRPwIAvlU+jnOZ9RgfS56hW9xgTHx/NgDgvjOL8ebzvdh1C51VrI70OY0+s5GVqyzOgub8WQBAxvSVGFn4He9dU4eSvk1zT7iCXYm1XzLhLc+IYLRMXwAAcG6ph9OxvWi+RuhE3SLCoB06Hs5NtQCAHbK5Jh55pv47ZCgAoGwreaebqhuQ89NVAOR91m1cD69JEwEAqYlreQ6EtOd38JLx5dFD2L1MO/ws5H3Juw8PT6hDYlj7JtZ+id97P4BbU8m5zr174R3J8wCAp0qeM0liXlu1CCnfkp2gD9/lU0BKJHoWPqcJCEOKZgoOpTcCABZOa4Fq+1sAyK7qB2+nYeck4/tnyZvP2y2pqkDxGPKuX23og/HXvmHOC7oDUuisAgCT3VSxa4h5pzWZGVACqA+OAgC41JfjmPsdiN37IgAgN/EV6PSE5Tg6bytQXwdNfj7vPoR9BwCv3QGgv281cqt82DwBALNG1rK/ufXXXsyCcySpT1nEODS/9gxWqkidN0zYCU1AGOTlBaLtJ9y9WVu1CI8NJWOksui8yfxCWdcgkaDQqT+rR/GASTyGLi6d7fO+X2HpwZkYEBXAPlNkhc/h7T5RO6a9DqCp61V46uU49v5E5W1DstcSXL5KbIZlPkm847l0xDel0q60e5i0p0yZgowMPgXvkiVLEBkZieXLl9tkfAPd7AHvzApayG1b8y8StxO68K5O1629uPTeVyhKLWUT1wF1LNziBrPf41bPYBNwyyfvQNmvD+OcdBoThwbvELhXkYFh/+RX2CQhZHThxvdS0HKpwUMNgXmr4nlGNNc4WrY5DO/eVwCP8isAgEdT49mWf0PwYOgkMlbOf/zfgXNkFK+9K12IWEtu5BRGwQgAYXMmY+n5B9h1FCmboM4nRq/frOm8UCKhx9VcUigXYtL2XQ2xyaerYxip+qaj8eHSXSfuogqw37No9Q4EADR5BJoNy6J/U8Punz4fInFWLxMa0h70wBbYO0HXEb3CN6ROIuFK9sSfNTTHUeCwHvCPnrdrecon1nb43D90CEpB0hb4vEKMbEXKJhM+Z50LSWos+jQJYYvv4f3GTSap/fUAaguIaA6lFRRKsQNgtIL0s5C6kBsCI4x7ZF54Q9iGeuYS+OUd590P16tN74/CIagIDfGj8PLp3npwQI3heGW6zQNxm9IHBya+BIB4yGRtGjjtI55CrrevIwO7MNTG1jAbc+w0gLFv02Nbps03idcFTGMlhYuC9sa/Xnw3CQAYB7mwbMDUSNFkZqCh2CiK5B4cKPqeAN2XzMtNOBSjIKW4kfHCHQlrqj90GPp5S9lnW/oaY1Y6kYKGUdMAAHNfbEbE8IFmF3fcuH7ap7nPXyzszFx91lYtwlMlhJ1KmKTenvYWHmuNB1y463Yj0N393B5oTzvfrOgK58afIanUUQ3w+v/Yt909/tFx8cA/tAHOhaXBuyXjHNmmbG4ix+aSrVZz7BBWJ4JWg4qmiHy9UJTnRr2EPd6AjqHpxAm4jhrF+85S8k9n+Kk7+oy6y4PWnvpyF4+dEbnqCG7GxLoedA8c0Rvd3fgzGIs9sD8c1gD/+EW7lufx91V2Lc8aHEaKnhu3KwauhxgAT2q71TsQbZ5+aPP0YzGCalUs1KpYyKOH8OKvcxJeZX/X7NvP+42Liu0p5A8nZ8DJGbn9Z0IdEoOCpC2sLmnLdyFt+S5oMjMwZfsLONDrARzo9QDalD7Ql5ey+mWFz4HOVQmdqxKazAzorheTREpDMqUmMwP6yjLyzxCrZwlUUl5MTp5KqVuTCM8Mnyv6PZVjZzLjgvUZ95r0GvTYI30WsGOywuewuthLCjtPNR15qulWy+PG3ekry8hirLkJ5efzyK6EXs/uK16ZjnhlOut/XHl1s8a3DWtWZdF5KIvOY+p6ldVjue1Ed1MAoO6ACKuJoT9S0PqqQ8kikP7TZGawvwHw6sFtPyqU0/TRajR9tNrkcrS/c9+/qLxtzPi+nn6R97tQnl5b3whtfaPVNuCCeqnEQOO5OwJaN1q/jvZLbv/q6Pm0DEvvqfBds/ZOCyH2/k1drxK971avABO5e+3FLJPjNP4honURK9NaO7Xnnrh9Wfg9F/rKMlaufNe3NpX9Z0KP8d2DHjgObkoPOMDfaoxbPYNQqQGQ1td0tmrtBjVEej/3DABAXnIF6vARPGOKC7GETBoK4V6ZjwY/kgxkznsjlJQHAIlMBudBg1kcnjokxoTOrSGYxKW7F19AvuoOhBYTSsYGv77GGNvQIYBebxKWI7Z1Lxa+I0xIEnpWzXlELYUHcI8BAKfY8SZ0eV0Fagyu91ltlv3F3ugOSq72sKBQ2L0NpIbEFV2byTWtcTv37Ar1oCvR4003RU+b/HngsB7wT1+ya3kej/3bruVZg0Mb4OaMtZp9++E9dZLZ39UhMahe+ToAIHTWbbi0cRcvtpUX09rcBLi4mq0DFduJeHclnvxxkNGglUihcydMDq3H0lA+50kEbPuQVx/qFaxf8U23ZBgLuYvtHf9m0wDcjlhya+EKnTWy6n5PQ/qaI6JeIGHZnREr6QzO9/sLYq7+ZPU4W0IxTNqzoZ787+5hdWFk7llMXa/CvsdzRD9z+aSF/T3ZawmSdxh3d8TatqOUj+Z4wYX9s7ueaWfAY+kQLG5tRdXufXB/gEygivJ8i31M2K/EwrC4+geUncLcM+tICJK9DDt7hlsI+/2NhqMbu50J17tRWHpwJiMIaE9bOnrb3wg4qgHe8NnLdi3P/dG37VqeNTiMAZ7stQQX83SY90sCANNExGuqeCibiXBM9crXkf1DHgbcHU6OfXiBMVa7vg7w8GTGb8jtY1B1+gL8E0gSEneCaQ4MxxX3YeLGcV0N4OnNJpCy2U/hdHlfTN7zGABAq26EWxCh26OJnjRJ1KWxEk7ZZ1GYTEIIXN58D64a4rGllEZ0sGr1DoRTTRl0JUSopiF2utWX/TPNgwCARzXvQ1dDDB6JqysevbAY631IGEFjSQXuvvgItq5yYdelISJjr5nfmtVkZkA6fgrKP/s/AEDQvNm837nGDm1LTQBhTKEUTyxGOGMjjwNdWXSeFz/MndRs8YALlVDNgbvwaPUORJMHYddo+eQd+I6KYaIzuuhRuOxD6tcL16DcbuyTB257F3dUJjGjcNbIWpP7ps9MGkS25bMTXgNAaLf0CkIBVx8QwbufivAxKEUfQs0F4Fvnh5DY6xgA4IRmBCaVbcSaCnLNf2Q/hvwFq3nX5UIeEYGmC4SasfXORey9AIC4tbN4fNlT16uw7d+EGk8vkfJo57hGijDxKjVhDab8TLhWdV5+kNbX8IxArlCPzs0TGiUJY3ApzUWrdyB0h1JJXa0YYNwQl18X78ZiGJ8FdwI8+8YGDHtjqcn53GPpLtD3+aPxkFR8oa9zcYe0ucFinV68TKg3JRJgaLQH7nElVKHv5c3E875fsb4cWforrgSRHbhfTgbgWe8ks7sYmswMFgYn2oc5Krl1ocPgWXjWYh15EArxcH8yhDN9GvMFEmKNfZkuSpp79QcAaJ1dWVubS8LjGtU0lI32ZyGos+O2Ix/AubKYfa8vK4EkMAiA4fkWZhhp6UREl/K/+B4A0PfBewEAhRtJInXI9HH49UEi2Db6zEbeubrigg4ru6pDYuBaTxKMnWrKGEMPAEg1zTbvwFky3oSLHe6xQoNW5+Zpck1Li5sLEWTcppSH9mZ7EcONMsK54yD33juzwLbk0KAUgQCxPR6sf6lbF2O2wN7Pu8cA7xo4jAHeXmgvZjEOZMCUpeRGIjVhDYY+EgOXf5DOfkAdi+my3aj9igxGnhHBvPqJGZvMqMk6KDqBciHmBdNkZgDxs5A25nEAhsno6ml+8qhhgtYUFhJ2jUtHyffuHuyQ7P4J6N1yVZQlgoIbQsM9jibAcutHY+m5CyBAfNKw5t0zN/B2Jbo05MIMHJ1RoavCPWiIlPOe73n3nhk+lxl4Qp5/blhQV9SpBz0AbPeC9nhLe/BHhMMa4P/3il3Lc39kpV3LswaHScJsDzSZGdC3tUE+bAT5FxqKutVvom71mwDIIGguaac9aFP6WCyHJp/FrZ4BXWsb3GqL4VZbjHhlOvRpe+C55GF4LnkYmDgDHmU58CjLQUHSFjSXV0F56SiUl46SBLqQGCjzz0KZfxZXR8xrVx1pktUHQe9AI/fAgLvDMeDucLjXFGHqp0Yu8qUHZxLD3tMbKePWoVmuhHrQrVAPupVXnuJV4n0t/3knyn/eye49Zdw6pIxbB3n0EJZgSGPwWXLbDOJhb5Up0CpTQJOZAf/EGfBPnME8MvLoIbytdG5bWgOtw/X0i+1qo87g+PCFOD58odl4/vbCWtKZJjMDFbOfQMXsJ0x+43rh7AlLSY9c0OdMn7+9cVwbi+PaWGju4L8DYdps9jeX8pNrpHe2Tu1NcBRCmKj6R4XwveUmlHYVhM/GWju3J/Hb1mO7yqjubL8DOp5M/EdGT5v8OSCRSu3674bX35E94OY8gWUR4xB45bDFc+n2cKg2BzKdFm7XLgFofywfV0FMWDfZ2HgAQPGHn2Kl6kuT7S9zXjmxrbIbIb5iyzWExlh76kO38Tp7L10Vq0u3SB1V6AYASlQTEZRDwgVoO9ialLnV40Hs2n0dgO33xsSeBGFE3QHh+y523390D2NX9X1H31W5mdBDhdmDPxsc1QPe+Plrdi3P7aE37VqeNTiMAa4OHcKTpLWEvA2b4f/mSlEBHWESGaUtE4uFajl3BhKZrNODaeHGHxG68C6btsHFxC3E6i88nh7DS8TKPwvYKHlqri7W6muu/sK/7X1NdUgM3GpJzKhMbUjkbCIxu5orV+A8YgwAQNLSaHO5nY0JFT4HsWNoHW42g8fW/ggY7zNPFonyIaPZOd2V5Ki7XozWyioAZJfE0ZPBeuDYEGN3apk2H4q93wEAL7fCHihUTQUA9Ck9aRzr7IQ/ymLBERwEf2Y4rAH+xet2Lc/twRV2Lc8anG7o1SzAvTLf5mNlcpmJoUXjkuWG7+mgM2W7+cFHMWQYNFmd96Zd/j4Xl79fw6gEhXzOLdPmGz8bwmPosTDU1znQ9vACVlZEBEvYEkJs4OUaVeaMZ2uGI/cc4fnMm8opQ1ie8qJh58LD0+z9aTIzgJAYyKoNKouGOHbNlSsASHvK6WLNkHBny0KgraGxwzFXyrxTgDNJYoSZraqb2TMrXKAaF66m/YC+q5EnNiHk8RFdXjdrC72GUdOwbDOZoBPR4+3tQecg7Gvy6CGAnULQxODWRpIrJZycph4IcGAHAECDnve6Bxx0Q9iIPeEwHnAxcD2KYhnW1GvnP8rbhBmB69GzSEfV0gwoXMzW4dJ7hE2jKLUUgy7uRkjOr+w3fVkJAEDi4orUBRt43kN59BCcfWMDqd83m3Bx0AxWn9a8HDiFWxdo6QxSE9ZgYtpaONWWd/h8oH1Z1GLtrPXpDQBwrr7eoXrYE9c2bUWf+XNRtpUM5oFzZzF2CMlf/yG6M2EJ9kr84xqMlGITIO1566sT4T5mDDuWxr9SdgphfTvKIU5ZJUIX3iVaN4AsfLje/ZZp83H10adQdqyaVwcuLLUn97fuSLC1F9or2d1VCwRh3/ijoKNhR38k1cc/iie7BzcnHNYDnmRfj7XbYvt61K3BYZYPYkkTHqdT4XGa0Ji5xRkTCqnK3+gzGzH6zEZEv/8KmgPD0RwYzo6JnK9C5HwVSn9Mxq0vx7FkG666W2rCGqj7j7Ko7KaaGwfVXEIxFpK5k5dspS2vgLa8AuqoCRj35hR2DSdvL+hKijD0H7Mx9B+z4dlUjltfnYhbX50ITWYG6nMLeck/3Gur0w7y7pMLWxL4KOJWz4Du8K+837nXzFfdIVoGVcKc/MUDmPzFAya/W1LC9D57EgCgl7tAL3ch1zryK/lnBbYkzOrcPKFz8wQkxm4r1m+uqeJ5daT3XVNIKPQCbotFwG2xAACXAF+4BPiyXYW41TMQt3qG2bIBoCJ5NwDLiX+0TY4GL7B6Xy3T5qNl2nwSdmOgtqR1kXspeYnAniH+8AwxHjPssWEY9tgwnuEtZnybU8Kk5UplEkhlEpPzrqdfZAmPwntVpGxC2bFqTNn+AjN0dB7e0Hl4s2NGPh2LkU/Hit439zzudcQUXikuvpsk+h6IvcPCz9w+pg6Jsapoak41k9u/gM4ZvLx336BAS5+32LtmCb1jI9E7NtLk+6ZTJ9Fw5Agajhwx26dbvQNNknzF3smCpC28dmFKrCLlWnunLZ3Lhdg7ZinplZY77NGhFst1NFh6xjez8W2PRFMu6PvRk2jZA0gk9v13o6vfXR7w8sxjUBadZx7mhvd2YNB3z+Do22kAgCk7XsTStOkAgA1xu9Hq5Y+ar0nYxj99PsQnM45Akk0GZqmPH/NipyaswZTv/o68b7YDAPQ6HULi+IwJzHOZdwrqcOMWujL7GFLv+Q8AYOC9/dFr5EAW2iJr06BNJmfMHzk/XcTd++4j5/UNgmxsPLa0zAEA3CP/CTonBfQH9wIweg4pan89AM+YQeRDSDhaPXzgfI2EVzSHRcGljHA5l6gm4oGni7Fz0lZWTqGzCu4yEvfcN2eP8V4uHsaL1x7Bwm2kzSLffAZHPGdhqJTwCAtVKY+FzEeIK/FKB2fvZxy8it3fQjp+CmS5pL4XRi1FVN42xmISosll95KasAZNBy8goYYYfJRb+UTofexeB+kN8eIu/vD/+SPI+xKVz7WaJ3jiHaX9JyDwOBEHkfgF8p7TAXUsph1+lvEnD6w+jP/VJAIADh8swYYJO03UN2kdG/sMgtPeH0j7VdUC8x+D/n/kGbsE+KLoTmIA9is9AkneJbSpSDk79QmY5JmOA2piPCbWfsmM3ISmTTjgfS9GyU+R+up1kO/5Dinj1gEg8vaVLsGk3Es7oe47zIRuUu1CjOiaNm98tYuEtkyd4IrR3y+B4j5yHez5CXqdDq13EpaJ/XWxmOSZTp5TyiZkJ7yGfptfBAA4e7ih+uJVNJSrSTsEeaPsAnm+feMi4THeyMdepJqMkIxkAMD17akIeGgJtL/vAwBIFXLIRk+A9CpJWpb494Y6OIrdZ6VrCNzbagEA7+7ph7dd10Dq6UWe04AnEF/2Dbm/4Ci4V+ZD2kTq0xLQF2cVY3GtlvCjX68AfL3IgFdY0oanal5BU9wcAIBrfRlyfG9F8gki3qTXAX8bThZ37kd3oOHWWXDWkHwArdwdipRNrO0Ta79kbax1coXHji9QcuwCACD0jjEojH+E/KZ3hqu0EcVNJLl6eMrLJkI3lN0j5dtDeOrlOLawof2LSre3KjxwxX0YAKBe64LRRZtZOYqUTbxyD6hjMTKAvN9XGkIwTr0drcfImCePHoKrqmnol0m4m9X9R7HQmg1DvoE6Og7O2wnntdTZicS713xBHipn8vg1YCEaNDJMO/wsAEDm7o7GCXey+0r2WoJ4ZTq4UJ4nO0HqmIlsMSpxdkb2tBcReZAIjOmiR0F3KBXyGHKvx4PvRbSejC/Oe76Hc+9e7N1t8/RDvXcoJP/7iJS14G9okpOwM61MAa+kt7F/JtEamKX9ETq5C4r8bwEAVLT4sHHjgDoWs7JW4PJmsoiPmD4StTmF8BpIxhHnYSPx6x0kccov4zj6t11Ey6fvAjBSnwIwLrY4SsG0LQCj0BFg9DbXhZL7lOjbUOisgmr7W+T3O+Zhfz3ZlfJQtGHC7y/COZK8I0sPzkTirF6sr2z1eBBOMnLty1f1GNhPwlsgc5/FAXUsEgtIP84fOQ8NbW54/2sNAODjhBNwqinjnUfL4dLaAqTP7RjzHgAgLiATvqUX0Jp+iLRX714oTP6NaVYoUjbh8erlAPhqvwDQcOQI3MeNR7LnIrNtRPu1RK9DgXwgayN59BCeU6Dh2DHo7n4YAKAszODdt3Dn8Uv9Q1gi+Zxdh5YnBnVIDBujI3xrGF3pmopFeLr0ObOiUnpnOSRajWiZ3OMphE4N7m/c34U79dz7pGMBBVevQrjLQz/rK8kzp+8VBVdUaNnmMJ7AUGcS1VMT1uC7Fw+Qe+L0Y0f1gDd9bV/aQNcH7EtraA3dHoJCX+AzrcMxJnW5bSt9EfVK4Yta3XckAKD+rX+i9+jBbIAELG/bmyRzcpI/6n5Pg+dtxBueFT4Hg499AgCQBAaJbkObC1Fo75Z1R0AHSK7wDYUlwQRzPMvCcm8m0Hu5nn7R5na31EbtbYP2DIiXIxIx8Epyu8stSNrC835y8w5kY+OxqXEOgqaTRV/ExV/R1EYWrKrtbzEhKcDUm2upHbpbHbAjsMaAcyMES4SwJSRFk5mBmfvndri9T4URAZsRBd9b7I/C32wdqzozpnUVs01XhaDYq75dOZb+UcOROosOhQ22avl6Gt2A7mZ/6jHAuwbdloSpDonB2bbh8P57PABgzOwxaJk2H48bPD7zVsVjYtpaAIBU24IG3zDIthJvz5EVBzDp03mAE6l+w6hpWGaYWN8NKYCiuQbuO5MAAFqlC5qn3gvZURL323DrLKagqcnMgDwoCCAOPLScO4OyM7kAgF4AnMbEseSP5HHrMGumN1qO/A4ACIgYi8KdJFyEbv1yvVzTpbuYtxwApmx9GgDQHDIY2T/koXeskaUlbvUM5sFL3lGKpx5QAADOFvligfZzNkFLx09Btu9YvLeRqH6u91mNwjuJ9yJk67+QfOuH+Esu8Qa1TJuPQ5oRGArCmc2nFyzF0MV3wElCylnxpSszSI4PX4jRZzay9vyw1yVonV2ZJ+5fD4yB/xUi4JOauBZBmYcxoIZ8bnb3h9rFnymWcj2TH7ydhr3zDqH+likAiJplqDYHn54jC6WEUTUI0ZC2d6srwbqrCVgwhqzqf8+PwPCQCnbfALB+zjnyx2+7II8ewkJq+ubsQVb4HHjKSGJTcMFhllAIAD79D0Lh68XaiN4XALx7XwEzWpOrS4FZRu9FobMKuVU+xt8OEg8BfWYfB3+Ivxc/ycrhlku+I/+3yhRY/k0vDIgi3tPsrHK8spjcV++f16EwYQ38MonH/qWv/XllrfprOU7HkAl1yvYX4F5TxPpG9g95cHaVQ29Q+XQpfB/XLhAWmaDKGgStWW5ccJYHYQbIDpFOKiXv4lNkEdr78LNIGbcOkzyIOifqjZOWW10JdkruZJ7Vp15egmTEMYn5v9/vho+/Ibsz631W4/Hq5cwzA5D3gitH/+IisvZf9ZUEH/d+D0fjiPdsmOwMz6uzbHMYeyeuR4/FmNNJcK+4CgDY7jIP0w4/i9xEMnC+t1GLD+6+DADY1xSHxJovUGcI6/ot8QskziLXVitjIGvT4IIT8bpGtxzHkz8NxuuXSPx9clk/VtegUG+UFNZgw1CiIJsc+gz6+1YzdTzhfXHx8ax06A7/CqdRZAfiB/29cFWQZxThW4PB5fshNzgHMsPnIvrKT2grJPeGmFH4vnkOAGC+6j/YODsEOEGeizpmIi5LotFHQXY5Xk8yTcbeEE924NaWLcBTmc8BAHZOWIehLvmA4Zku2xyGT2YcQdtRMq4pMjMAjpdzpepLfCYn3ufrYWOQFTmLJZBXugTjX0mEhWl9bAZ0bp5o8SSeulYnFygLM6CvIjkoj15YjMfvJ7sf679pxIYh36Apl+z6KZsaABc3NPYhC0S9VAaXOnJfWldvuGSfQur9xFs+6bP7UHX6AhrKyC5M79hIHHyJhIQ1pl3AsA9mMj7fxrQLUBveX7aTYBjnNJkZuJ5+ETnPk8VuXOseNLuTXSmPs79C4hfIUwddtjkMn4Z/CgA41+d+ZIN4wO8KOYaaf61A4C0DAAB7JryHylopvJWkb+/cdR2L7iXjho+iAe9/rWF10NY34vGDMzH/L+S69S0yTJOTkMtrXoORlheCub2PAACO3bKYt5jgLozrg6NQ69YLp8r6kd92lOLdVw3PcPe3bI4BgJJjF9D33ukovoXsaAZs+xD7JpAxespvT0ExdDi4qD90GM/qV/LaDgD0lWWQ+AUy51W8Mp3tVALAB0Hv8HY4W70Dke07FgBR5xR6wCn2By6Em1yLMrULu5cNE3byuOZnjaxlf0flbWNzm/i4a+olBkwXZ1SNFQCyIuZCD+OO0pUqb/Z3Yu2XuNJ/Bpp1ZDzKrfKBr7sGVQ1kF9ND0YZJZRvZ8Ul4CKPDKwEQSuTU2tHw9yCe941bqlidFC11SNFMYefFK9OhLDqP4gFkPArO3s+7L0se8GSvJejvW83aBzCfG8QNc7OkLu2wkDhMFHWH0O0ecK7H6UifBaIy6fXBUfAoNsZuU8rC2rDhAIDSZcvQbyr5Wx49BK1eAXCqIgN4c8Y5uKj6o+AHosjo88oKohAJQN3vFmic3aCREW+6R3OlkWruQiauzHoJ/WvJ1neJTxQOFYRhfhXZ2tPk81lbjk9djWGyMwCMkuth/yMvuH7eUpPVKzVq3I/t5FHjfSV5CIv07VcJZbLwBoMsJ+FV7DjpxRsEhd5wGhe8dZWLWeVLax4aa7SER/qQGGix58qlrStUTUWv5A/INUVovq6p4uH/M9nOloeG4mT0owCAkYXfidaL1v+bqPfZdmZD8GC4F2WxbehTYfdiRMH3vLrT/tiYdsF8IqNebxIvxpVkB8jAC4AnqS4G7kT06bmReN7rCx61JJXiBoADvR5A/AXS/yCVAN5+vLK4Mbc0+Zj+bcmTra8sg/Y6MSCFz1tsgKbfSSR6JnUtrCvdXqX9fO6LzSbeW9r/6Pe2eoItUXXaCjGqOWG5wkmrIpwYXf55x1gZgGl4lzUI75MaF5HhUt4zavUOZGEHbUofyNTVojta5srlGkcFzsRApMaEub5QqJqK0BwSjoS6GhNVXi7DU8q4dUis+i+59sUsE9ajI30WYBjI+El1GGyB8NkI+y7XeOL+Rus2c/9cAGRc44aQcWHNO27JOy12rvD5dzQZuiP1oRC+T2Kwlye1I+VY6rs3Cssvkp2gfxy954bsDlgad28mOKwH/Nt/27U81wUv2bU8a+g2A/zU5UqTF9HcqhgAavbtx8n3yW+qv/SD72tvQi8hhory1B40XCbeUxrrymVqOD58IRswuYPn2qpFeC5oC369/Q0A4tvOZ177DAAw/IX50PkHofUk8famjFuHKfv+BgBwjeiHXxclQXGSeGUnXPkM6gFj2ERVOftxuH5KrnHtkQ9QEj2OeZHofeqKiEHfWltndaDlDu7CgT//i+/Zcb6vGUnllUXnWZIVN5bQHOp+J3GpkgV/s7pdzRYTFXmQNjfwfqe7AHbZCjbQdKXOftekPHMTXmrCGkz6P4NCZ1U15NFDmGE64O5wFgtZ6KxCVN421m92j12HO+vEB06tXzCcK4tJKBRgEg7FhXCiYueaQdnWHXB9guxq0N0IbpgJnTS4/RsAmj5ajebaRmT/kMfKEraR5kImANMFTkHSFnbexIPvwKmmjBe2EzrrNgBEjOpQn/t5eQWazAzodWQIkffuxXY4XOvLsEs/i3nExIzbrhLYoXU/N/1tROrO8RbvFK1eATyGIEsGztqqRagoa8LqyO9Ff29v3Wgug5ghYq4dzE3kXIO3eg/xnvrcMYV3TM2+/Sh/lMRF/+2Zi6IGGh1/pCF923E31g1N+q7FrZ7Bb9+2NrbQtGZwazIzTPQcuDoP5sYW4TMWA138PDb0pFlj3QScBbg9w0i6O8ygK8FdnPfg5kOPAd416HYPeEdw8sWPMXLV30XjNYWeYOHAzeXgpoMdNz6Sex7dtgMAyYTb4Vx9nWfwlv9MvLfNtU3oNXIgG4iteVO1F7OgNxiT9JyafWSLiVLQdTca048DANxiR9t8jjXucXuBbn+2F3RBEPsC2QqtzilB3wfvZfXsinjM9k6q1gR/hAaPufbN/+J7dm+pCWvMevTpVrybP0mQo4lrYswF5tpHrA607rbEonaVl0g4FtxsuQvthXAx3lmaTDHRMHs+K3tRnXLRmnMJTioSysJ9B4T4s/QJe8Ne1Ks9uLngqAZ486bVdi3PZf5yu5ZnDd0uxEMHQjEFO6FwDPWmxq2egeo9qXwxm5ZmAAaPYMomXE8nsc8D7g5H79hIVtaAu8OZZ7rVzRVSV1eMgNGzRc+j16VeQ2lrC1Bfh7YkEgaBqZNQdYV4VwY9Q7wolHIuetPfoZ7/GCZ9RgJ/G5Tp0Bw1eh811bXQ3UPYGFoA1LoEotLAGa4c2A+yMCOdohi49EvcyVYvkSF92P2kjdbOwge91vBCUKi353nfr1AeMRZHK0nSXmLtl2x7MOizJ6C8dz7k/r5Wr8kmQ8MarnT2MwjN2cfb+lYazqHeW1rOss1hvJjC4gGTTOLchKCsBJ6tJ3j3xL1HIdQhMfA4S2JYFZmbMODucDi7EY910NhoTvxgDE9sY+b+ubzQHDEPDs1Q3x6xnMcQQK8LADop/xUTM8jpsdQLT43W7+7cjhEJ0bjtnQQAwPHJb2OswuDNNYRBNpaQeHt5ND8EZeC9/dnuzYC7wxHG9SgGhDFFOefevRC2eAhqfz3Afm/1DmT3IjR41lYtYrH5AdsIOwZ9Z3ymzYd7BfGkO42Jg9o7BK4+1pUxxeISuW0txhbANeyFoTcUNYmPIiNqDvsctxqQRxlYaEKHmLASWMLyi/fazQNOmXcicneZvFfmkhkbjhyBs6eHxfpSpUYIdjg0mRmovngVAHB/yTPiHvDrZFemtbLK5BrtMZB5arABYUgb87hJGVnhc+Dx+v0sF4eexw3fEDLO0OdtzQMu8/JmfwcM6Wexru0xvrl90l6LdWE/70oPuK2LHWsLHHOhigAJezTHgnKj0eNx/5NAeuOpA+2J7vOA79wAyGQWJdipoUxp/Ojg3vLJO1D87Tn2e+nJy0xAhHq4i58hSUchtw4EADi5E6NL6uzEDIbesZFwDgyEtsJgxAyOZgN979hIct08QjUHuQt2+yzE5LRlrL5UiEdbXgF5VAyj8qN1rV5JSN1Xqr7Eeh+yUnMODITmeikkho7TMm0+qle+zkIhOjMAW5MCF3ov1lQQg/wFf1MDtuXcGQAwScqxBOHElOy1BInX15MPZhQ7uXWzdu90QI/zPgvv/FM21ekXzyVwv41wyE/Z8SJ01wrQWkUSVORDhuN4H2LsDNv1T/ZMAMshE8L7pH1VbFIuSNqCs0/tNDEoxMoFwBNpqjvwGzzjJ4p6kYV1aDl3BqWnstnn7B/y4DeCJJsOf/NRXp00mRmQxJGkVX3aHqSMW8dCv6pXvm5SX/qeCe9vbdUiPJb5CJTRZCG3NGshS0yNV6bzknBpklaARwsAIC3DGZHhxgSaWRffgjQohF0TMPZTbr/WlRSx49qLgqQt7D07oI5ldQJgsoDqSnCTtWk7AUajRcxg0RUXoC1mNK5/QCg0QxfeZfZY0UVpFRnj4Otvcjw39M89fTfvOSiLzqPNk+QayOoqAYmU0VJyk+5aps2HS0MFE9zi0vvRexOi+QzJxZE6O1lu+4Z6wN2DfeQuUpK9ljCNiNFnNqJ65euMDag2pxABs2ealgcSjmVOUr78550ImD3TZgOS6xzihowBRlpCsXLEFlvCd71ENREAEJTzm8U6APwYcEtsP1lrvkTUC0tMvheCvi/mFJPb876053hu/23Pedz3wdxceCyEhOyNVO/rsEidvWCJhtDRYscd1gP+nXX9kPbAZd6NFe5yqBAUbofM7p+A/sXEI9rsG4I2qbOxg9ZUIvWv/PMn7SMT6/6pr+PW018CPyUBIPzIkEoBAzuEPGYY4zWltIPsBefQG+pc3KHxDETZGvKAe8dGIm35Lkz+kpwrCejFvIa1BeUI+8vtuHILebkjcncxLw8AOK38D/rkEpYBzfmz0NwxD06txBApW70KXq+9Da+CMwCAtN5/xXAn8ndHjHG6oNHecS/ciy+Iqg3S+83bsBkA4P/mSl7Yg2TC7YzDvD2DLJ1QuMk2lrZ6eYOkVAZdAWFFaLh1lsm9Fw+YxDyu8sgoaAyCStbCIsrnPAllcxUAwOP4DhIHPmQ4AGDqh+HY9RqJWXe6dAaSgF7s/OMh92F00WbRsoVGoFhy0U4fMsHdoduOy77jzXpjhEmYIxZG8zxQtWHDWd/g3pc8JATw8mHft3oHosXdD4p6Ymg51ZYzQRxpfY1Fww4DYiAtKyJfeHjyD9DrkRUxl3d/NBlRLfNBeM5udihNjgaACxGz4f7aX5khIUZZuNefvEu3V5jfwQD4k1NrziVcvn05rz0txVWbW9jZspUuNMCaehMDx/U6uY/S/hMAAG4tNZ1aOF+MIBzd2ZV+SKz9Eof6kHEj3K2YJfbWhQ6DZ+FZiyE9wnu6qiLhRH2PbITEYHgn+z6McJ9axFz9iXef9B4b+wwyJkyKJBtzOaeVReehcyEL66JPk4ixlklyR+Dlw3uHOhOetstnMWZUJ4n+JhYvfn4G8cKOKPieiSZxE6Q7i65MwtT4k3FFXlHU2WqKwl5edq1Pb1F1Y0cJUTFnuHekP/R40x3YAP/+HbuW53Lvc3Ytzxq61QDvzGAgFB+goSHdEUN95rXPEDVvnHFiun4Juqs5aLiVcJ55lF+BpI4Ygal3fYiRT8dCtvgJdr7Lvu/RPNUYq2itTcQGudSENYhbPYOJKqyqfxYeob14cekUzONmoD/jCsWcDrsHKt0FE6+nUFiEfseNETVJtBKpK510JTIZmqfea7yHlmYUfkcoHy9/nyu6DUrL4tE7mtkutRef88nQeQCAgfpMi2wv9kR3cFHbisqde+ARQuLvD/5zDwD71ZMllk5fgOq3XmNGJre9K5J3wz9xOq+NxPI6etADW2Dru2brO99ez7D2YhZPo+JmxR85gbQHDmyAb3nXruW53LPMruVZg0N5wMW29gEyqV5TxeNCJNlWG/t6PEkONFRdp/SBzonwcOoOESYAmnxJEym5yY5U7rt8zpMI2p/Ey/znepg0mRmou0JiI70WLoaspRHq7b8AAIofeh/ur5KY775/mYIz635A1LxxrNzg7P0sfvxw/CrEl37NrlGxPYUlu4kZqNw2mLpexZQwrYniiA2C7TXmOiNeIRbHbcnLZUvcN7ccruftpWxiGP97wHdWBWG4rCdcsRpunYTbwcK27Oi2qC3eE24bCcuu2bcfdUXEqx22+B4eLyw3PIT29wnHSIiCojyfd98P1r8k2kbUeKVx8kIVUrEFF5dacOekrez3Q33uZ3y41pJExWDOe2ZLPxeDvTxXU9erMG3BeIu5BhS29A1hzL8tolfqkBjsqxmNufVfmC13u7dBqbXGMluKrehMrDP1kNoj2ZEbzif0/AvHK+573NFkbYr21F24MyHWl7P7J2BA7vYO10eIrvY2d+T5m2uz6j2pcA8OFP3NUdCTmGsePQZ418ChDPD2QOgBp1vfwi3TGwFhXQDA7eAvkEUQ7t2CiMnoXUu2dXV7f4Y24QF2nJCxgPudWdTVkP85HL0mgzGH5ouCS0N4MOivGL2PeMt5hqjqdvROft8kPtKWwZ4aRlrfIACAc1WJqbJoJxQ26bk6bStcht9i8Vh7wZpy4h8F7ZnMucfaU23QXB2scc1bOrcHPbAHejy8Pfgzw2EN8B/fs2t5Lnc9Y9fyrKFbZYS4Rmd7wVU39CjLgSbrPDRZ3TRASqW8sAhFyia0NTQAVWVAVRlcdfVIG/M40sY8Dpfht/COVYfE8NqB+5sYFRwAQOYEyJzYufR8l4YKpCasQWrCGmguZvHYIdQhMXCqLoVTdSkgkaKf+zXIo4cwhhmK+jZ3tNw+D5rMDGgyM4y/SSSi8aDce1CkbMLSgzOhT9sDfdoeaDIzoK1vhLa+EeqQGGZk02tyrytcwIghbfkupC3fBanzjSPveXGRnik2UnDbtStAn+GNhLLovG0Ghl6P48MX4vjwhV1WR3VIDK9sl6Zq9neFC4mRpf2zBz24EVBwGJIsob19sjNzoK24IWNJ9/jxevBnh0Rq3383uvrd5QEvzzwGZdF5FG78EQDJ6hdmBXMHPcqEAhi3lsU4u+k2PjXoqAgPV7hE7UJCUDRQwK+5mOdd4zKvUJYCwCg3zfWEcq8/9uR/0SYj2+8uTdXI9oxllEw8T33ReR6TgCJlE+/3fKeBvAQpS9BkZkAfTyjqNAol0ltGYHI5iYUtixiHwCuH2eAblHmYnReVtw2/eC7BrPOvAQAaxyXyjC91SAw8TpNQHm1ZGc8zbYn2T+glKlJNRkjOr2brz03C5LZ9TsKrJqEDWeFzeBRXNPExVJsjqrJIn82VxJfRr4GEAmmdSYItZba5OjgRLnoine7eUg33ijxIigmN3vaI5UwOGOAne7UV5PGoIsWSMLlJWN86P4QFWrLjw01UpMfxlDBl7yM5jDBHjAi8itpWL5bMy91+p6Ej8hY1uV+FEu5VBWhNPwQAaC6vgkuAL2svIYsLDHLdUhcFnMJVJjsTmeEk8VIC4/AgVMIM1eag5ZN34BkRDIA8t40pRKLZz98FT5U8x/p2mSIMAZpiVCrI7si1Rj+4yFrJ33VuSMx/B+oYwvhAw1xo22f0uwtDrv7I6p5++yqMv/YNq5c6JAaFziqTZ0B/ExMy4jKRAKYsKJrMDMbgklj7JdZWLcJTJc/x2ohrPLmqiZKokFlBGAbBPadI3h+DM7+F3jsAALDdZR583TUYV0lCzjSeAVCU5/Pug9vXzCXWXoiYzeS+ASDhymqmdMq9J+69ls4mnh/9K4/yxJ6471pU3jaWa0LLon1XkbIJ8phh0JwnIk1npr2NwTjP2neM3yUEXjGOQeRihr5lZdfSUihRstcSxrQiHT8FzTu2Yc5p4sTYusoFEj1Jvt9fP8bmhEjuswesq2iK7V7Stk/eUWqWBcUW0IRcbn+3BeZ27mg4j60qkJZ2nNqzE3WjWVAuRyRi4JVk0WMoTJ4HNcAMfYaiq5IwLbGgdAcs3afDesB/+sCu5bn85Sm7lmcNN2cIikQK6HW8SdTkZWqoBwDomxuhvV5qjB8uzmIvmNCQN0cjBwB9nv4HyvyjWPY0Ny6RxRXHk6RLqbYZukOpcPImNHCnb30eQ3a/AoAY42KUdWIxt+bAjQPmgvsC6dw8IW2s4/2uCSCS9/LyAlF1OYAY7tIPX4dneB+zbcKts9igURZBYuEDrxzm8wJzvEMdibNrV5iO2DmXjgLuHrx4TUqx1ugZ1G5JcZuuLzC4rYE7uVvql0Kpd7HYf1tDQwqStsA7ojcAwPO2ON61uZBHD0HxgEnwbCJGJo1htgRz99Aemi1rk9PSgzPx7n2Em5x7nLW4fmE9HTn205b6WVKDNRcnLYQjGAL2gj3v5Y/ULj3446Kr+qnDGuAGZjR7wWXOk3YtzxocxgBvzwRoaQLhlseFrWW3J0bZFpU/W3EjmC8sLlgEqD9EvFUe48fxzr0ZJyFbZKtvdhQkbeElmNKFHsUHQe/gsaEnAUB0oWHPvtyDHlD0JLb1oAc3PxzWAP95vV3Lc5n9uF3Ls4ZuM8Dr1j3dqUGZu/XIRXcM9DQcQHmeiCWoYyZCkbIJTaWVAADpwsf5W90hISzMILFgHdTRcawsbtgLDU8xG38olSLlVsKDGa9Mh7IwA8neD7LPQvCEjYqz2HYxNwRGotfB/dwB1A+bDIAoVr57XwGU10kS6dIDt+O5hSS581Klv8l1DjWOwvRSouqZ7P8oTySDC9oe9Hxl/lmkzn5X9FiAhBIF3Ua26kt+N27z02O5bSQMSeoMxASJ7Jl4KAZHTfzUZGZAHhFhVVSpw2ginOw6vyDscL5LVLzoF88luLPuyx7DrgeOCakM0LXZfPiNEFxpyTgHxZChXVJ2e5w69rjOzegA+iOgxwDvGnSfB/zH93iiH8ygNoRx4MAO3uSq8/DGDhmJSx32wUyETB0NfdQIAEDTrmQo7iSeu6Yfv4Vn/EQ2QRf+dg5SJxnClxJZ+LaCPLSpSXhKbeJSBFw5wpvMaUy6XqdD2P2zUZVKBHSUCx5AKqYhah2pX8jfH0Lxp2TA6TVyINKW74LbqTMAgGhZJjwvHkLLFSIso586F9Jft7F7SVu+ixmOztu/htTZCfWFJEbT46+LzYow0HpmJ5DY7TBtNhuQdK5K7JDfjUQ1KVfdZzAKnVXIrSJiLYm1X+JCxGwAwOArP6MloC/2aCaz32icp0KqQXjxb2jYm0Lab+E7iMrbxmKCo/O2Givk5Ay0alnISUbUHEzZ/gIagonRrZPImGHcOHMRvPNPsYH0/86PwrPeSWzbvL9vtdVwBip8omhtNFHC5G6/cw02vbMcdSmEr9q1Fwk3ofHPac/vgMspsggZm/5vtNbUwnkEEZm50OcO5Fb54EIuCVdaMvoyAq4cYc8hJ+FVlEST+449+w1cdv+PLWTcqwrQ4BvGq5+Q7YbGbivK85nBrYoMwMjF0Yg7SrbV0m59Eo1pFzBLa4h/9vCDSza5b00R6SPygYMAAIWbkhG68C7oK8sAANrrpez9Kdz4Ixre+AqRuT+TynBiboU7RcJdAm6oUlDmYYRqc1gOhbK5AsrCDDQcPQoAOP2X/8DFicR1j7r8OTRXrsBpFGmjBr++vP54MU+HRaOIcuexykG8ePtC1VScKQ9ldTiU3ohVA4nMesOxY3AfM4ZJp0t7B/Pqn6+6A77N1wAA+m8/gWfMYKZ0Kxs+Ggfc5wAAhnpcgkLbwBaC06W74Fx9nTfR0+cCAImzepk1ME6E3ocwZxIC89WJAVbpCrkx1a1eASxunOYD0Pa9EDnT+CwkUrR6+cOphjxfGqc8JIDca7+cFFzpTxadzToFdpz0YvU4HXYPwr/4OwCjTgIVadohm4vE2i/R6kUWt42efSDRt7E2yFfdgT7b3wcAXE94khcjDvDDzQDTMDG6szf6zEac0w0DALg6aTEi67/Q5JP4dnnMMKiDo9g7oZW7w6WBPDPdoVRI3VxRn1sIADj5fjpbXANA+ZlsrOj7XwDkGQ19bwZyfrrKfqftlxU+B7lVPuwZ6ory0Vpbx8sV4p6T7LUE0f5EaCYidxePBrcx7QJzHCzbHIb1Pqsh70uobJODn+IprAr7DC+XROkDmboaYqBjGB3XhgYUo2/OHtFjuceL/c01jqnzQCxcydoutDokBnoJcb7UvPUKo+qlEErRC5WWhdc0Z1RznWu5ia9gUNlvkNbXmK0X9zzu/QiVMQHg44QTAIAmj0CeQ4oLbq4ZAF6/4ZZNMePki3BSDbJaByHEYsBtZRtbtjnshjpoHNYA/+U/di3P5c5/2LU8a+j2EBSu8cuLX2qoh76ReMSyRj/GN/xqKgFvP7MxxTo3T9RuI8cXn8jDwNljUHLsAgAgaMxglmAzQ7IDpQHR8FWTwb3VycWEj5vGTbcoPFGq6IuwX1ax63EFaI5NWY2aJmcARoOWDkaysfFExtmAut/TIFnwNwAgXnOJlKkafq57CPeGHSO/tXO1zw3NaQ//9PX0iyahB7Z6GC1RxLWHh1cdEgOPU0R9UxIYZPE6gKkqoTlwOcKvqeLh//NH7J6mrldh3z8M8u2CRDBL7acvL+WpZtL6fXpuJADged+vsLZqEfvbEkySMH2SWF3EEl6FfZ47YJf2nwD//YRvXhYWDq0PiesWU6zjoj0eMh5rg0RiNr5dGKMulijLlc4GwFPuNAddcQGkwfzFjbV+Zi9veV0oMSA9C8mirbNeuYKkLcj+IQ+nNpIk4chwKW8xHCApZYu+jsR20vq1fvEBDt7zPwDWEwGv949D79w0s9fUuSrReoIY29z2pH2I29ZiiasdgaXEb6HRqMnMwMz9xFmw7/GcjitSdjInoKN9Tl9WAkB8DOwK2NsDb+mdEEtWvxlwM8f/22u31mEN8O2f2LU8l4S/2bU8a+h2A5yiqbcKrhX5yAolHmYxNgNumIE8egjzvtRLvBBcR6TJndL3o3HCnezY+sJSOD/8NHQbyVaF13CjAVE85h70KTiG7S5E1GVIwDV4f/oiAKOniA6kHwS9gycHHYBGoQTAZy9xr8hDg384SuSEGWNg5maoB4yBooUkQUratNjdNh0AkJCzChJnJ+I9BtAaokKTRyAk35GwDRpzbQnUGx2mzcayzcQYefe+AvxQOAbzz5ItlOK7Xsb1Jh8MlRJjQcjoMtU1DTUexHsYlPMbj9lCWXQedb+TSbho0buIyttmIh4CEFVCxd+eg3sV8f7RsAE66fm7t2CQnBi43mWXIG2sY3XfedITjw092S51SWrUpnx7yKzwjrCcPNV0hO4lz17X2ITGkgp4DSWx0rrmZqzzeAMA8NjQk1CkbGJKolfOXMa+x3OYFychttbYJw0S3XQRIEs1FUraF0DOG6M4yWszsQnqeAjZnWnQyDH+t+WQhxLvb8EPKVip+hJPPaAwXFYCN1kTAOKV0/oGQZZFPDpFuw/zYsDTlu/CrS+T0Kajb6fh1MZMPBNhpO7kelKvp19E6KzbAAC/LvkKEw++gwZPkoRbLOuHyMOk/VqrqqGbdCdy3YcDAKKv/ATdtUIU7SULRvlbHyLwIHnvpH3CAL0OWj/Sx2Tnj6E4bjGCr5P6HvJIwOg20seOy+LQd9Vs1K8gTA8Dao7yFg1iBhiNWf/uzu28fkTvCQCcfH1QlHKEtQt3wZJaOxozjz7D46cXLmi4sMRYQHdEAOD9rzU2e6a4ide0fnByRkk/MgacKI9gxlGJaiKCcn6zWN5WDxJ+llPQhpRvD2HagvEAgHm/JCD0UdIfJS2NvHOYAabVAAD01ZXM+LNlgaG9fBEA4Dww0uScrPA56PUf4nn3m3kH2xk7rRuJ8WfXMp0CiUQKXZ++kDYThwuXwaLVKwC6w0YmJfq8WjLOkXOlElxPJ3XweWUFXPZ9z5QltZcvonny3aL3YMnALkjagrNP7eQZptdU8SwBn3tuexkyuAYvZe+hu0IAX8CKy0Dj5VRrs2gZrRdAxnNuYj91DLUn34q+l2Ln0XetftaDuC4J5nnAuYsf4SJZ+E6by0Gh7dXehdSLl+exXTMKW41RS8fZkn/2RwG3r/YY4F2DbjfAzXoKqiqgKSHegJRx63gvHnuZa4hXuSTlIE4s3QbA6H3mGjzC7UVbvBPUo6MrJsalNDgMn+sewkNS48KBJU7++CTWNjzKG1Cywucg8iAJJWgYM1NUXAQgk6++rY3FGFtTdbQVXUWdZKl+Ykb0+X5/AQBGrWhpUr++haiM9r7nTqv1sNXD/D+nh/DXVsMzk8qgK86HNCiE3ctTBiPV2sBuyQvXmfoBxjb59NxInjFJwz94k0EV2ZrXlJSYGIwnQu/DqAtkIVfwQwqbOMX6AXdCa6+3j74/wveSi454wM1NskJFyPZ6o8Te9454OIX1tRfM9RUehaLqdoTl7O1Q+dkf/Q+S94mRr8rdYfK7xj+Ehb1djLgTkVd+4V3f5J0VoQ+k1K/cxcTXsofg7UFCuDrjZe0OD7gQ1jzFN2sS842IQe9K2Iu9qKvzem52OKwBvuNTu5bnMusxu5ZnDd1ugLcH7aGx4zJfAB1nF7F0TUsS4jc77DWhOEKy3M06OfagBz3owZ8NXH2IHjgGHNYA37nBruW5zFxq1/Ks4aYywLnQXMhEc3kVAKA6pwQNFWT7MuqFJZZO6xJceu8r9Hl3LdzqiMe+7cgBpC3fhTEvkaTBykVvICdyKgBgyjePQFNUBMmE2wGYxufashK3SeygVQs4OZvIhgPApF9XotmrN1xqybW5fOE01IfxpnO8sQDwePVyNjhS7wm9hntFHqTNDdC5ebJyufSKnV2kcBXdbpS3gibvrPdZbRKu0FVw5Ix/Yby4PT1HrK/sfAmajDOsjXUe3iwuXKztb3YvXg8cHza/84bwtB704I+EHgO8a+BQBrilQa4+OAqtX5GMV7cgwhLg5EeU/qRBoUidtYodKwwzaThyBLp7HgHAF7qp6TsCbju/ItRqANQDxpgNFdFJneB5MgXasjL2W8U5shXtFdEHbS0anLz7/wAAtzXvQNuRA0YawkVPQJl9nNxjbg5aps2H20GyzSvrF8HuncLaQH8q7F4AQL8NS6Gc/1cAxJAvHjAJeOMJcszfk02Mkqp+JDPf92o6cvrPEt2OvhAxG5FFKSjbRLzGve5KNFsPyuBQtXsfAMAjtBcvLEKx9zu0NTWTY+9cZKLkxwtnadVC3e8WAOYNT73CjfxRlGeSBGmWuq+2mtE8KlI24Xr6RQTHk2RJWb8IoJnEVGv7RKDZzQ+K5hoAwGmXOIwp2oSc/iQngdtWrbnZcOo/wMRQ5oYVcdk/ePdTVwN11ASeYh6jYqTb/YYJXP/1euh1ekgXGqmRKEOG/88f8bb8aRysZwj53S3I32RrnsYpC1Vkp2x/wZSHvoU8N3X/UTwKTaGqKzfUqSJ8DBStJMbY40wqWlVDITl1EADgFK6CJXQmrpYLbjJv1pi/85K3eew4gphUTUAY5OUFomUuPTgTg6IDcd9owtohFotLQx0+eDvNYuiD8DmYoLkJcCGKrbzFTVsbi5k2B3O7TeqQGCjzSS7I1E8GYder9WzhT72NNKb6idoXzXofxTyT1na4aL+67dA6nrNBV1wAiZzkNkgCevHYYLigfYGytPx9Ryzeva+Ap5pL2YimbH8Brd6BLL/BkjEsFrpicg8cZURu8rEtYmkU7RF/4h5bHxwFj+Isy/WzAGH/q9hOWK38E6bZXEZ7YWkhbM/YaS47Ebc/dsZzbmn+zQqfg1AtmaeqV76OB+tfsnsYmr1hb10RhzXAd//XruW5TH/YruVZQ7cZ4KcuV/KS+4rk/eEpq0NtK1GPFE5OXOYJXUkRGmKn86ieWNJJay6UhRloKyCS4lXxC+CzJwnXDpIJJnTWbawcmgTDvZb2Ihn0aCIP1+saeWkX+hwliR3bI5YjZi0ZzPo9vhgoysP2Af8EYGqocCXCuRMGQF4QdUgM3I+RgUPI8CAG7uAqjB/lhltYMmTMDeg0lpPGzQdlHjaRWKeD7DVVPJTNFey3T8+NNInV1DvLAQAXQmZaNKq4SbbmJhp1KPleqmuFe/EFdr9hi+/htQn3vq+p4uGfTBZuzn6+KNx50JiUFxoKeHoDAE/h0dy9ULR3oOfWRzhJqUNiMPfFZvZ56yoXlryLAztQl3eNqZLO3D8XW1e5ADAqi1K11f2Pbkbc6hkmBjIXtG/Ur/iG1Sc1YQ0G3B2OsPsSyOe7P+ItYJ3GxEFqoEor+OoHnHlyJyZ5GhcM+soytKqIR7zZ3R/KcwcAAIdinkJVgxyJBYRxKGv4El6yWWWtFKPDyQJ1x0kvPFX6AuSDo622ZXtiwKmxK9bvHDVkjLsg4xp6PMNScDxgOcZZk5kB3eQ5AACX0lzRY1q9yWKkySPQLjsvYnHb3MU39z2w9iyEv+sryyAxjCt6rYYtpOi7RI0jYV8RGw/p+PnY0JNmqQMBmK1vZ5Iw24V2etYthUfaK8+oPeDW4UbEW4v1P2tjx83K0tJVuCmSMDsZSSHEjb5Ppxt6NQ4iGskAwTwZ49YhMf8LKG4hq1t1SAw8zpLs9/phk+Hu5onWU4RvWN/WBmX2McwMJFzAZVt3ICpRCwBozb8K9cS5UBqu45W8ATqQDHkAkBRnMW/5dy8ewLxV46DiiLbQ9Ujpj8nwX7KYcc6mjFuHtpdn4tcfiGE/87dBkCSSEBOJVgNNeQVix5JBTT5wEORF54koA4AjvechZhoxrAfUHEWUwegGAGSmQRKsQ2tNLSlraDCcK4tF24wOqiEzCI+5WhkDkCgc6Dy88UPrXbh3PjHmNP4k0ZBLncb15rZMm490Ay/v+GvfsMHHr/8EBBaeYAPkcS0x+Ch7SWKecfLok/s7oNcxNprIcClQS5hHAMC/uQjuJ4jnJaQ3aTd63xsyRmGZj5EHPF5ywrpBZHg2OonREyjmVaHeCgA4WR4Ot+eJ97ox7QIS57yD1L8aX9rGNGLIowyYdvhDOA8n3vFB/WKRLFmCcB/yXNydGhGesxsAsPr+Uiz9ZiZeX0K858rmKijP7GXiRYqUTWibQtrL9XoOcqt8EGW4XrwyHSiuY97MA+pYRAwnHPCqyAAoUp6DbhJJQm2rb4R3ZD80xd8FANiUqIQyg3h3NVdJe3IXbM69e8HJsJCrz85DwVVisNG+7x9NdmHCOB7wuNUzoLljHvRlpM1uO7QOqL5ufBbqarQVXiXlvPomouRlaNKTEKPzfRZgLL5FyXsfAQDOPrUTCCdGTEL5N2jxCUZDFOkbvtJKFDl542w2eYauCkAiIX9Hhkshd4tg91Gkmoy6Nk9msHN5wAn/7XmWjApff3CRp5qO8+WExWNy3VIM+u096JwJ45DU1RW/DngGALC5ugLvhhQYja6yTwCFC8+g5XraHr7PE6OLNkMMJ0Lvw5BmQhf44aV4q4m3+ao7AADnyoMxzXkvnC8QhdLtqhcxq20rNBpy39z3wammDPrKMvy6KAmAkau6v6+BR7rWSM15TD8W6RekrB5OseMhvUzYZyjdqVBAhRr3Mjcf9ptrfRmaPALhXkH62rWQMfD49FXIFj/BzuUKcXETNiO9pEjGEgz7gLRh2JJ5qG4hAk5Z4XOQePUr6IrIjoJ0/BTom+qh8SRe7ivK4Rh0newyaDz84JSXw3Ms/LooCZM+I8xBUqUn0zfQ6aV4afdYFHgQNqrsH9aY8IDT91BXXICivcdw64tkB9Fl3/eYeDt5JzWHCcf6OF9CD+mXdxwjA/IAMhRAPmwE1L0J7/P7X2uw3sdoXNIFFO1XyTtKkTiLOHwsJRdT0Pv0eWVFh3nAtRezGJvT+oDzSBlnNKSq96Riz9wCJHu9blInzYVMk0Ww0Gil9Yn7cSG8p05qFw84nYvoMxHSelIk4SEsyHwaANAyfQGg19u0KKwLHcbKys4qR91842cjDzjp59m+YzH4CtFFoLtf3Hkj2WsJkneQcVlMA4DLA87VMPgj8YD3hPV1PRwqBMUSdG6euGMN8XS8tHspP8yEo85HBzWu5zpu9QyrHhZA4HmtrwM8PHlCEoqUTWgsIRO/17Ao/LqEvDxTtr+AgqQtyH2BUGdFe+Qg4NhW1F8kFHzKuAm8a5T+mIzAeCL4Qr03VEClMPk3q1t1PK+3YZtUc/6sCTe5kArqmioeANAn5wBTFBSCTiCtX3wAAPC+JcYk3IPbbvLoIajekwoAcA8O5NFDUnEOLsyGoMB67LOYt0/Mq8Ed2ISelwF3h6NP3HAAhIaQCu/or1xkiyDAoBZadB4vXiYUlVxKq9a8HJOQCk1mBpv0eAOjRArodWbre6jP/YjVEHo5aasG197/D2MvGXzsE0gCg3hiRYNPkJg3KrRD+1XblLlwzTrKQqR+f247z8s0db0KH75L2pcbguI8fCQkBgo6wHRHwS1uMDHKAegP7jVhXtG5eaLoY/Iuh82dysJ9lBcPAx6eNifhFiRtYQsF4a4UF+3x3gmP5W0zc3Y/zIE7yer1wAwZSeh+P3caz8hWh8SgeiUxaL67czue9/3KYggK1SGg4So81FYzI1noXbXFUwyItHVtNVoNYkTPN7yIR2a3sXLpbo7mAjE2NVW1jAo1/4vvETRmsE3XFGPEWVu1CCMWEoNuyubHUPADWYz7vLIC7jVFaD2WxjuehlEBMO5SRUYBMpnJvXF3c7ghKFycfWMDhr3RsZhOdUgMXOvJu+RUU8Z2CAAiDmSP3RPhWMD9LLZTJpbzAziOGuzNnIth6d26GUNQ7A2H9YDvsW9/c7njxuYQdqsU/cnb/w3ZfDJ4Xv3Pacw5+TRjLYlbPYMZR5KWRhPFPufhI6E9c5J95iqajT77NY4Pe4CVk7Z8F8a9QbyTMlcF7xzlxcNMkQ0Aru47AwCISLgVumZjaABAVuPVbxEVyoY3/4drUePZNQDgwG1ESn2KlhjisoLLAICyEYkILCCeInXvQaSOAgl17n3TCbqyVorF+JzH6doqU+BkIzGAphZ9hlMDSKjIiMtf4b/O/8DD9aQO10fcifN1ERjgRRJD305ywsJ7SMz8kUwZJg9rhqtTCwCi9EU9WRpnN3hX5uLAbcSYHH1mI6O4A4A+ius8PtychFcRpCNCRk5tLSh0VqFVRzZWwnWXoNj9LWmvmYvhvjOJKZ1+WTwVfQL0qKwlC4gRfWsxNP8H1tZrqxbhfkPM7Ue7euHfA75Ddn8SJnGxIoCnRLdhwk4c6bMAADD22re4porHyXLiBYtXpvMUz7hc8gBQPPt5AEBAUwHke4xG9v9FvIdRA5pQpiY7AEMDinGunHBaj/XNQp3UFyG/rGHluqZtw8FbiQE50vk0muTES6yRusCruYxNntdU8WiBC6o15HdXpxYU1XmT9pPqMX7/86ifRficT8fcwxZ+FPJgEo4CJ2do8vN5/f7WVyeiqbwGAHD207NQ/aUfACI+JQ8JYbHFmpxsqBPIgKrc/jmkbq7QNRJvftryXSYLVvrunZ/xFvR6CXq7EMMkqzoMt7qcZOFKyjOnoHIiIQ4eO75A48xFkLUR495VXYomZS/mGSytkmBeX+KRP6EZgfH7n2ex0V5Otaht9cL5EqJcum9fCRbdS4zSMb+/hqb4u3jhSvrKMhwYTARf6ltkrG/Q90yxlzzXltvnIVdGDLvBjenQKJS4JCHv0iD9eSiLzvMWqf9zIm30+4ES3HFHb0zzJfVtknviqxMD8NhQMv4UyfsjREPum+7sUC839Vpyd35oLPmpsn643eV3FhZCF78epWTcaPUMwD9+Jl7C9T6r0TTjAUh1RGlUkbIJZ6a9jcEg/UpZdJ7kgAAoaAjC+QIXPOKcRJ7feaOHkY4tVGmw6M4XENBSyH53aapmsdq6wjycG/csonaSxcW56W9j5JkPmdMgX3UHJCDTR/CvGyALC0dzIHnvtHJ3XuL3yIzNKADZ5civUfI858eHL+SpWwLG8Vz4vtKxnI7jzZU1SF9Ddh/6ZB3CtajxCL2d7ID0mzqclVOq6IuqFiXbxaB9+qM+ZLxc5vk5ygeQHU3/Y9uwXfUir46XJdGoGUZ2x6THz7PdG3WzE8Z+cx987yML9fcK52BkZBtSDpJ+/8SMUuQ1knFD0yqDulnGHB90MebvTsbhigYFu2aFSwiO5AdjStglcqzEBaE5+1h9eHzioUPQ5KyEW0sNAEAvkbJcER2kkEj0CNhGKHFLjl1A34fuQ2Y/smswYPub2DeB9ImpB58V9ciffYo4FLhjqXPvXpD4BbJ+7qqrR3ZzOGL3Eh2N3MRXsP2ENwDiKGr1CsAukPGb8npThV8uCUBW+BycL/GDq4I4LXzdNYjd+yI+CHqHHTNrpNFRQsOZAP4uQb7qDpwrD+YpYT58nyeGtxicQgd2sL7h1NqMVicXVmahswo7Tnqx6wh52pO9lqCXkoyXpWpXnorzXv9FuL3CuDjfJH8I/fzJsWOvfYulB2diQBTZ6Wmob8WyceTdVDTXIEV7O9vRonoc3PGIgnrA372P5Kxw/6a7JrQcbugjrT8X1LbgHisGhzXA9ybZtTyX2xfbtTxruGk84GJCPDReu3nqvcwIoF4QeyUhWIoLK/+ZDExeqlCevLzaxZ8oLhrkiS8MfQCDTyeRk7x8RLf6KDqquiVsn+uznzXlDa6rIf97epu9jjkvhiXvNH25J3schXvxBb4c9UXDgOfh2Z7bsYg/shgC9970ZSU3TBHPkWFJbbUHNy8cme2nBz3ogRE9BnjX4KYxwLkQGmBi20dClofOXAsA25anniNuuIct5XeViIe9QQ0cW7izbTGGaCw6FfroDgjvxaGTbZoaWDhVe7Z0HXX7115CKD3oQQ/+HOjhAXc8OKwBnrrRruW5TFlo/SA74g9hgIuBG7Li5OcLae/gDl2Ly2ktBFVudH/mn1aTJiisSSI7qiHVUdi68GgPK8Uf2QvaXYpsHV0g2pNNxCyVZA960IMe9KDb4KgGeNOvX9u1PNfJD9i1PGuQ3tCrccCNPaJI9lqCg0F/xcEgkpmuycxghjTXoPYbHAZdcQHOvrEBZ98wELFLZYx1BCBMKfq2NuQkvIrKY8YYSH1lGa/crPA5RLSmlbCoqENieAbz/smvYP/kV6DJzODVOdlrCVrUzWhRN0O+61te/TSZGbwyjg9fiAPqWBxQxyIrfA4rKyt8DjNeWjLOMS5ea0j2WsI8i5cjEnE5ItEkRr6zyP34G+R+/I3FY7j3CIAkkIH/3FLu3IuUO61LaNtixNUHR6E+OEr0N26bCOtI/9HnUpC0BQVJW9h33PpS0ERXMdD7FjvPGkzaDKZ9jn6++G6SxbKSvZaYrb/wszokBuq0g1CnHRQ9bs/zpdjzfKlo/bjgMoMAgHOAP9quXkHb1Su89qdte+a1z3Dmtc9E6y6s34YJO+1ufIuNM/aAWF+zN7jjQWrCGqt9TdiPuNDLXaCXu4j+Zu1cW9Dec5O9lvDeTUsQu++r//0OV//7ncjRls+j0Pr0BkDe87VVi6AOiTE7hgjLsvdY29W4EX3VFnRkvHQEdOa96EEPLMFhPODWPL9cRgAa+jF+JVGTdBl+i8nx9JhTGzPx2NCTzGN67OmPcMsj8QDAGB0sxSlz2VRojDdg8GQbjPZW/2C0/b4HiqHDeefqrhM6wf0Pf8PzamoyM1jSJaUTs5fXm4ZbAEYqqw6BdgsbuGctxXJS9gAxDmMhbM3qtySaIgTXo0z/psJBJX/7DwZsfxMAYWAIW3yPSViRJa9sV8SwVu7cg5c83wcA/LvuaZz5+AyCMkn/LIkex/rgp+dGYtbIWgR//jQAwGv0iE7F2VsScRHmV3BRkLQF1VfJwmvYG0tNwn1sDdPqLs9/R+GIO1WW2tqWkLKOoKvKtQf+yDtlXQFH5cbvQffDYT3g+y07CdsL10n327U8a3AYA7w9sBaCosnM4FFaAcYJou73NHjeFmfzteikNuDucJNrcie86j2p8LljCgBx7lTuZK29fBHOAyPNluUIaDhCmAXcx47tVDmOlGhFJxjq/eIq8zkKuJOgrrjAJmEmwLa8CDG0J+b/zwoxY9tSsrIj9HV74I+c7NwZ9BiqPfizwWEN8AObrB/UDrjGz7d+kB3hMAa4LR4laqQydUZD1dWhQ8yrKNZWQ1PETwAUHiOWKEYHWWpAfnpuJB4behLyXYRWTzFkKDNaesdGwsnbC4/lPQbA6C2l53qcTmX8zJS7WVOjJr+NH8enlLLTBG5tkrDW3rYYzkK1MXXoECgLTUMfrJXTXrTH+6jJzEBDsUGQ5o4pFiWHxcClNxSiI/dm7blkhc/B+18TCrMNE3ai1TsQl30IVWdJ9DjmDZdI9NDrJfB4nazYfV5ZwTzVAFkwZhtEoywt6uhi1c2feM+pVLXYVrHVnYnMDEjHk0UoVVR0NK7iPxO4/bMjfVVsLLL13RNTIuSiq4xYbrl/pMVQD3rQnegxwLsG3aaEKURi7ZeEni/KMChzxEsAMpj6jSCy2/2+/ycQOxpFA8hk79VcBqdRxEjRnDgMefQQ5sF1U0XAHNQhMYBEgpmHCLc3wsJNDIbiZwi/cMCyNBQ6qzAwbioAoMHdD/7RfdmxeRs2Y8NS4q2koiJ08L86diH6ZfzErpu2fBcm/d8C9nna4WdBpVCUaB+EIR6WYuzoQuNing6PhaQzZTcu6ATGKA0tTJL3wGaHKQABAABJREFUj84HcowTvaKZFMh4y1tz4X6chNpkjXvcrKR9exH340Jg6iSbjqWhJQDQmH4cbrGjeW2U0Y+oTA65+qOocV7RoIAQdGLntpHQW0jbwFtWw+Nwldw2HRAonXKfYb/v/4kNE0aTum/5Bf6PPMzabeDBd+DEacOq3fvgbBCv0X/7CeJWz2A7P9k/5GHA3eGibcI1UuTRQxDGEfRJTViDiQff4Qme9B5jjLu/poqHspmIuhTJ+yNow9OoKyKfQ/72INBKerLH6VQgoBfPyCpI2oI+T/8DADHQWXu6+KP1lX/YzdtK74XyvtM6CI2+rvRkdnThYVaMRasBDPLrtoJrfFIudPXt80TFX8TqK2a8dvSd5YYQFiRtgVdYAOTiTKydArf+x4cvtNuOorUFha1w5EWBI3j2heJT3YmOLFodqf5/BuhtCJF1ZHS7Bzz/i+8BAH0fvNdUwTCKvADqsKF8z2pNJVL/+jkTb0hbvotJiifWfgnUVEJTQsILWm6fxxN6kMcMY1L0Q7K2wbcqhxmvbVevQNaPGOz6yjK0DB4DRS2Ro70SEg8nSStPDpjGEjs//DQKnAcwUYqovG04GrwA0RKSRKVormE0fJrMDEjHTUatLzGOlNs/h+zW2yBTkzjaqetV2PfEFXIBwSJEDFyRHmX+WSZxLhwIssLnILSVCH4oCzNQHxzFhGckcXfAuaqEHcv9jSpCUliaiLR+wXAWGJc08UuiaTY5nks3pfXpDf1BkqxZMfsJntEKAGUR4xCYTZTztP7BKPUjRiFX5IaLK/3J89ZBClUukaKHkzOTkAaAuS82Y9u/iVGjl0h5CozbvZdgoke6aNk1+/bDe+oktHoRQQWn2nJkhc/BjpNkgfi871dYV7MYAPBo9DE88104u0/hc6HiKwDZZXm64iXsjl1N2qFGiiWyJEDXxo6nhpJM6QFZWDgqwolYlX/eMXwtewgLcl8mv/eL4IXavFe7GM94JZnci66kCK1V1ZApPch5YeGsXgAw7ehzyJlJyqT1puIQtTov9E9eySbtrPA5eHIZaa9pC8Zj3i8JxCgH8EnVPVg44Djv2jnSwQCAWwq28K5pbWfmvG4ob0eC+96KQcy4tDa5chUraX24zxuACa++WHn6yjImXEOvS4/Rl5Wg/NApOD9NHAAHa4aiqk6KRY1ENKUyahL88kibNQQPhnvxBaaYyy2TojKcLNzoOVQUR7r/FyY6ckAdi1sC8hGS86vovXJltWm7cu+tNecSnALItctvmQk9yATonfwZ5JFRLO/l4oQneQImyTtKTfIobF2kmFPtpffoUpbHK/PQpLUAgEllG1EbNhwA8HvtLe1aPFhyEOiK8iEN6cv7Tvj86XW9Cs7YfE0A0CvcABDxOcD+lKnWwiM7Wg73e8AxQg7FUKAieWNCjYzUhDUsv0ZY92uqeJP56GZBe3JrLC0eHNUD3vj793Ytz+22e+1anjV0uwHeIdTVIDn0GcbJTScXwKiq5hRLVCobUnZC4evFkh4nf/EA6keQl3DZ5jCs91kNyQTyudndnyn1ucUNRtzqGai68+8AgI3HIjB/553oNXIgAODx6uX4bBAZuMxJtXcEtnghHH2Q62qIDf6W2qTtKlnQCI00dUgMe97TDpuqwHXGS2/rMxIuaDQBYUjRkJ0drsKaNXTGe2XJKycWB2yLUWDJs3qj0BFj42Z6txzZm9qVcARPrTn0cFj34I+IHgO8a9BtISjqkBh8em4k7viQGMohX/0Xiv+9D/dIwkesjRyFGiURcXHV1KHQWcXiXbN/yEPidm8UGLbb6xOMv1EZ7YKPiYEftvgeFCRtYavAgqQt6F1OtsyffuBVYDsxvAGi2hh39CMAgPf2F5AVPgclg0loS86LB9Br5EBI3Yic94bonShI+p1doyJ5N8qe/JTdX2TJXuyfSiScuewpAFC98nW+UVNfxxgsrqdfRJhhcqHGGZWYDs7ej/rgKHx6jkgiP+973uhhbmlC8cDJ8Ep6GwBQlV2M+hXfILLE4FXuMwzHKon3N16ZjgPqWIzxu8RrX8AoS8+NqVeHxMClgbRZs7s/+01b34j8+/7NM8TKIsbBVUM405U56dDkEl5ped++gIcnM95yKn3w4b/SMG0Bef5PRP4OrZwI0Lg0VOD93GlMCjin0geTPI2y0IqUTcifvQwAmNwwrX8UziMJD2FB5tMAgNapd8G1jHj3abxz71iSAOtelI/4W0mZLdPmA3u/g1ROPOK7RvwL8cp0rM0jdISzRtby7pMbm61SnwDSUtByO5GjFtvi5xp2WeFz4CMjOx6R5VKoleS3AucBUL6+AP1XjCDP5aX7kPpLAabsIPLOemc56gNVrA24Rog8eghqfz2A0gwiK+4bEYDik4Qppu+EAWh8bAVq2rxJG13YxJ5L2vJdmPLtUqQuIHSeI5+OhWzxE2xhknhfk9Ebblik0J0UgBjjg48TmsH6W6aw75W5JwCFC1scyw1tQEMhyu98HJ5NxJN8QB2LickPov5BIkVf0+aNUG0OalyIB1+GVrbV6LtpLZMhp/etc/NESTB5J2pbvaCqP8V+r9m3H+UXiFc2fnUMa2tl0Xkc6nM/xl/jZ9G7VxnZdU6FkcH402/r8fQDxvAPjc4JmjYneDiTXZ2IxgwmJz91vQr7Hs9hbUY9ynQhkpPwKutHWeFzECAphVcyafuUcevQ37cagR/9DQDg/dcHWB+LytuG4gGTmKS4PHoIXOvLROO8z+mG4fB5JzxVSsa8tOd3sB1Aeg1ah6UHZ+KzQV9CW1HBjqVjJfWA03c2ouEsnDQNkDY3AACkzQ3QBJCwO6m2GU0egdA4Ew/u4apoJNZ+icZ04o13ix3NyhlQcxTN7v7sPdGVFKEhdjpjXNJDCtd6svOY7X0rovK2sfZz7k3Cmmr27QcAXHvkA5REkzbijvEA0GfCUDipyJgnXKxQI/5CBJFkD9Hk8tiwhNoN3M/uNUV4t4Cc90z4TjjVlkNzIRMA8O59MVh7bhEmDSPy8oP059nYFKrN4e2yqUNicEkSg8vXybg3sHcDhqvJzsQu/Sx88HYa4+UX213kLm65fbl4wCT2btW5BiD45FZoCgvZsTT0EoBJzo4YLOVIUVpYl/py7EICc4pdSXwZ2ZV+7Lys8DkYWHUIANlBMrcY3hewCH08atnuia+7BuOvfcNoYRNHVUNVdZQdz2XXuqqahn45KQDEvdat3oGibFxiKtvlEWMRcIWEsWaFz0GoljyH6pWv48H6l7B1FZl3D6hjMSLwKk6V9TNpI4DM4eNiWgEAQ6VncUAdayITT6/B/Uz7K71vW8OfXrw8D4nxTvBRNPCu0VkpeodFTwhKx2AtCXNt1SIsGEMmw+Ds/aI0hBS3nv4SOgkJvaAvEvV402Q0asSkzlrFBurK8NHwyzsuykBCX0ouXSDAod26exrWap4AAIxYGI3b3knA+TuIwV1U64Fph59l8bjNb26Ey2skQY5S3U3493QAQO3sx6CVKRCcTSYUW7w7J0OJoTe8dh9kdZXs++IBk5gBLvdWmqh1lqgmAgCCcn5jhoIQmguZkI2egMadyaQ9fb149eENFBIpoNdB5+ENAJDW1wAgAyEAhFScxm8TnuO1H9d7uvzivVgdaVzB2hIWQMENDxDeC9errHPzROtJMpBeP5bFKy/s7mnQ5OcDAGoTlyLgyhF2jU0x72OR/nNkhs8FAETnbeXVQx49hNFQwsnZpP7071qXQNS1eZod3LghKJuvjkbEnEge7aCQfYeFGVw5Bp27F6RFxLufHP48xv5vHuRehkWMnzev705dr8KH75I6hWpz2Hty7UgW/N54y4RqkD6nkK+WwWMaoWKUNqmhDh3Ckp/dqwrQpnBjbDIFqtsRduZH0u6BIZA21rXLA04XmnuzI7AYxvGB+06Yez/EvPLn+t6Nofk/sM+88I/yUt7OlfAzYJy0kneUov8gfySOJgvLHSe98LzvVyZGNmBqgAsnPE1mBnISXmV1VYfEwOMsMbokfoFAfR3rk1xjnd63SRgMF5yQGC644+Wu1cfxYEIrzwDfMGGn8TmFhABePuw84fZ1VvgceDmRhTEdswBj23IndNX2t0zGTwrd9WK0VlaRa1I6WJH3no43lPO738Pz+OWUFGH/I98ar1FVAfj6m60/RXt3Grn166pdSrPx/zcJbsY6U1hKzucuvqgB7uiK1vaGw3rAD/1o1/Lcxt9l1/KswWEMcIDIlsuvGAYswSSiDolB4wf/BgC4+CjhNTmeCb/oA4NZzBxF5U4Sq52z5xLj/QYAmbs72hrI6jAn4VVENJyFXE28P9ImNar3pAIACg7nYtgbS9mLWTn7cTjpNPDZS7zZ+lFxzPBozc2GrrnZaBTmvwN1zESe58Oj9DKpwPUi6JuaoK0mk5j0tjugP7gX2rp6Uu7dD8GjmG8oCnEshHgVo5ABZfYx8qWbEuuqF+L+VNKB3J56CXNfbOYNFPsCyGr69CXgoRFZOFRNBhbqoQCAqKxvAFd3kwlEbEIp/TEZve5KZL+5V+RB2tzA4q8jcncBbSR+OUt1FzM4AOCTMyPxgj+HQYUTDmJuEM9X3QEA6Juxlcm1WwPXGG9MP44jKw7wJmWu4cYdhM9NfxujCjczQ4rrNaQTJTfGVh49hGd00Thp37p8XoxqvuoO5rUHQLz1AWSXosqzL9xbqlGuCCX3uf9jtKnrmRfZWdsEl9zTpCDK+W14B+pOn4NMIUdV9jUAQOjCu5hIlU8/H54Rz41Lpomp9LlcefhJDP7PSsazThOKAUB5/jfA2w9lEcTjWKEPRFTGRhT8QLxOgctfhPwUMcqkgb0BuQtgiP2vSNkP/4RpvARJijrXAKgfW4SIVSQWukXhKbqLwK2vJdpE9kzPJkFTWIhrR8j71GdsFLuuS0MF9Af3WjTsX8omxp6vnwtmjayFavtbrO5cY3Ng9WHskcwCALTp2peoaM4zC5C+QRciOjdPUTVeLsxx7jccOwZnD+KZ5hr/vOsb3lPNxSyrix3uooq+A7SPC8eJ8p9JOIb06TdYbLrWNwjOVSUsXlzaOxiQSKE2eFNrXHojNGcfr350XKZUrxRVu/fBd/pUdqz0x8/hPobkRbScO2OizcC9B0tGtPC5cB0PnQn94Z6r9QtGtmesTZ5HMe+tpcVtVzA0mTuHIifhVbYbJgnoxRsPHSFsqL1aAx1hEfqjJmH2GOBdA4cywAHLiVhCTzUvYaWJGNXUMLvyKfGKKNd8xLaSAKA1Lwe6xiYARs/LthIyYD/QZj4uXewFtDQAajIz4BxIJsR3ZC/gea8vyA8yGbQXs1BylGxZUgOCS2lobaCyZVtKbMDjtm2bpx/Pe27LPVlFQz3g7sGUTCeU/K/9ZVhAZyeVzFVfIGz9OvYbd9sxbfkumwdnIUVlZyc5rodFs2Ed/GaShUb9ocPwGD9OtBxh7DhNDKVoz2TDZTqRD45m9aSgBqzQ+yjsK5rMDGbgutaX4bcJz0H1l34ASJK1ED0UhZbBfYatXgHiXm8L4C52HC1WnNtXgK6Jubdk9P1Z4+d70IOOwFEN8IbDP1k/qB1wH/cXu5ZnDQ5ngHNhboJuD2c4BVcNkfudJjMD12eTuLWwnL0mRhU9fvSZjah/920EzZvNztdeJIbJ789tZ2WJ1Vd4L5YyrjsDW7w6tl6TymArhgzt1PU7IjBkLZGpvd4UWofGtAtIrP2SVydrXiSxtmqPcduRulpSTRUrHyD1t+Z9Eca1dgWEC2h7C0y1pz0tHZvstUQ08dYc7Lm9bqnPmev7nVUK7Y7Fzs2mbtqDPz7sxYf/Z4PDGuBHttm1PPexc+xanjU4jAGeFT6HJ7Ut1uEprZpm51YcfTuNJRY5jbwVrUqS8EG3zrkevJrLBXB9YjkpNycdcCGJlHSC4LJkcA0GdUgMqleSuG6fV1bAvaoAdb/8DADwnjqJeeALP/sKIbePwfWJJI42sCILukOp7PqPVy/Hu/eReilSNqGtqQWyGX9h9bUlxrW9sMQUAgBVLn14lIoUdHFgbsDhGnm0rrStU8at4xkp6pAYuB0mseSU3q4z6AiziDokxphc1aqFOmYi83yXz3kSQcUnAcDs9r5YbDG9b0sy9RRT16vw1MtxvHYxZ2TRvAMuB3fY3KksJpfrNeTGowLAf/u/h7+7fMHK4ho/mswMzNw/Fx+tI97tEE2uSRtyDTSusam9mAW9ITxB+HzN1Z+io/1YrH2oYe8WN7hdi11b6dLao/poL05oWldzOyLchD00NUA9YIzZvm9p0VqQtIUlHnNFagDj/VN6Q32oir0LYgZ0zb79cAvy55VFTtQDEonNhv41VTz8f/7IpmPN3RMgHoJE69CeXS1rsKdzw9YyuXCE0IbuivHmtpOwn9tjvrRWRlcpwt5MMfM9BnjXwGEMcFsgHNynricx1qLJhJxjeS+QYaKw9Roso/7pf5jE4FFjXXnmFEYXbW73/dxo2DJJ0MGIF5/ZCdjC7dzV4D7TtVWL8NhQYnQ7olfj4rtJiFy2GED7PS9LD87ElTMk12DagvF2MxLNwVwib2fKA8Tf5666ZkdxM02ePehBD3rQGTiqAV5/9Be7ludx6512Lc8apDf0ap1E2vJdSFu+ixnFtqAgaQv0Os4aQ8T4zgqfwzyd19MvMvYSLkoDolnsNUXgGB8EjvHBP188YXN9zCE1YY1J2Ex3ov7yFdRfvtLd1bAL6DNlC6ai8yaGLZe9ATAuHGwBd2eBQpOZIapKKvxOeB03P2NyqfLcAYvX5ZZlSQGVW09hXenngqQt7XqvLJUv1h72RkevY+65tLdcrvHd2XazFfa6ji19xdbzbtTzvtFob1tb61edqceN6l9dia5om46gq55TD7oJEol9/93o6t9MHnAumk6dhGJ8PABAvSMZrr0MISjdkNDFjRMHAI/Sy9CeOcl+p5LY9O/jwxeahNowOXcBv7MlcLfOir/5CX3uGM+o1MT4p7me4Jq+I3ByyH0AYBJzLHVxQdPEubz60Xv87sUDbAvQHIODpexxc1vUtmwldsXWsjXYEmbyZ0JXxpHTvAOJlAyEtD9wGSDMJRdTKkdH3NXoQQ960DncTAJZf0Q4rAf8WLJdy/MYk2jX8qzBYQxwa1u6BUlbkP0DobqiYjtiFHLmYkI7GmMtTCLjXocaDNfnPgePD59j7BVC4/eAOpZ3b8LYSkfczm4rIG3d6dhtKeFn58qpdxZinM3moMnMQFMpYXtpbdbAb+YdJvHOgNGjKYwttWSAd0XcZ9nWHXgl4D8AgHmr4hG3dhaTgufmSNS5BqDP0e9QmPwbACJOJVxIdaaftwdcBh9hjHrtrwcAgNCGOjAcgSYNMB92ZAslYGdwo5M0rSXICsdDc/2zuxM9HaXfODocIYa9Bx2Hoxrg6uM77FqecvQsu5ZnDd2mhClEYu2XvPjcT8+NZEqIqu1vIeiZJwCQpJ3r6ReRvXwXRp8hBpA6JAYwGEPyovPQl5eicAdRqewdG4nr6RcROoJQDXIHy18DFiJe/SNTdgOMxgTlPh5wNzFANZkZaJy5CEpDwqY6JAbVhmP7DtmDgrJaFIQRoy2m4TB0bkYu48j+/aC7ZFAxa2tD3OoZLKE02/tW9Ec1Wg4SY14zY0GHVvnUGBQKqnAV+Kial7LoPPb4LcZAQxJr07++xeArP7OyrqnioTEIX/QZW89rM7EENOHkTetSvfJ11o5U/ZN7LDehRufhjdZjaayuwsGaq0amBERFULh1nD2KiHwMkLuguRdRwzsz7H4M/8craDA8N8+SCgwrIn/rpo6GNKQvQmfdBgDY5bMYE9xPGBUQjVTeaM3LgVO4il1XLFHztKEvDGw7j3z5IPabcLLmcj2rQ2KQ8fkavH6J0GR6SSbAebiRJ1i1egZyDNzyg1Lfg1Zdj9CZEwAAYUvmAXodq0tJwhrErQa75rKMu/Bv6RvsM1USbG3WQPHYMtbPKXj851cNcXaG8ulzKHRWQbX9LV6C0nkpoTOMySQ7OdTwFgtT4D63gqQtqF9BlPze/1qDDRN24ngI2aEZDH7IkNBAU4fEGJVQBUI84W0XeaquDHo91KFDTPoOdwHGXZw9f+EevK0jPOXZCa8hOm+rxT4o1icAvhAPbUdav5Rx65BY9CX05UQFsmp0IuPONpc8yb0n4W+0fmO/uQ+Kx4hyrJBrnxpGzsOJkii0Gl5bcJ8trTtVKYzwrWECVdzEUXrfWp/e0Owm40r1/S8h8OcPeHXmqltqr5ey60zDs0zluHdsJHISXkXcavGwgdiz3wCFZ9nn1IQ1LDmf2zbmnBzmFtHC47mf9WUlkAQG8a5hru3FrmnuN3VIDFzryU4P3fGh/Si3ysdmJ41wUcD9bDdGD4MIm60QM76piqY13YuOgNLscvNKssLnIKKR9COqXAuY7twKlaq7avHQFY63zuTI3JSLpJtcCbNbpegVKZuYeI2vuwZPZT6HlqHEg/bkoAM4GP0PAMTwaHb3R8hUogK4/zFiHFJjM3793Uxcp03pAUnULcj+wWgk9o6NhETbwq5LBX0mRGZAOmQ4L7SB8ha71Raj7ejvzOvu88oK6CQytBhk7N1riqBWkOZLTViDSZ/OQ/ZQMrnh8Hto8A3D8cmkfmNOR7FkRk1AGFp++haKg0R8pWT5sxhzOgmKMCK+4lxVwAbds8V+mK/5nIm6KJsrUCTvj+v1XqT+v7+IylmPAgB6HfkeP/Z7GXM++ouhHXzwVuZMvDaKGE+5VT6Ar0EYKARwbW2FZBUx/PRtxk7MQmGURGq3JvFRuGrq2MR9V//rULcYw2VyEl5FmGEgxZ7vUDH7CTTrCctM5lM74TZ8MACya8Fl8Xh8cxgSZ/ViUu+PhZyEUjUAADCw6hDWVi3C4lEkoTC1OAqhLc0oGUHac9yJDbhdTxZYu2snYkoIUO1CJsSwnL2YN/oadIb0hvpAFaSbP2H353tiO7wm3gIAcOodhPohZMtJW5sLp/T9OPA4UU5s2v8ScpSDITPkDxzqcz+qGogxPnPYLygIHAGf5hJWbqg2B0kgXoK7Qo6hl5xwNjv//D3ODH8fhhZCWcQ4VMEfO0/5AgDGRjXhiisxGAJaCjH6zEYcMMgaT/NWovlIGlyjyNnN0//KZLejNj8G/ZDRoPsK6i2b0daihXc9MYgCHolhuQz+jU14Y24M5Fmh7Bm7zScS4vpft0OvaWAsGQDpo8lbiUG03mc19AbjrCpkOE8iPrQ5By3T5qPFcF6OdDAGthknd52HNxq8Q9jnMkUYnCRElvlKXW/Ue8Wy32bEZeM3w729cnEvcvSzoGkk79feutEY3p/UPXjbagTNbILmsJF5Z1blD0Bv0reTvZZgqitZyMWU7gKkMuwwjDGzslagYQzZ0Tg+fCHiVs+A2tAfPeQuWPrrZKyPzWDlULyWtwC33apAWhyhgxw4+xns9FmCeHcS9qJI2YSamaQfX9BG4svva5BoYK6JdPNEa/ohOI2JAwD8POp93FVOxCMavENIyFnfvgCAeM8TUCs5zgRtI29sGpHxHXwyCLuSOmoCTrfegluciDDTss1hWO9DVlzJhvud7kRYjpofW4a2JOK8cHs/HX4Zx8l1AFyv90Qoh72GG94V9vACVIbeAq8qMgbmJr6CqIz/IcqJPBfN4Ww03n43AECZdwqay5cwcDwRyrnePw6Zg43buYPvX87e/TKXQIS0NENXQYxMiV8gnIPC0OpB2qzF1QehI64CAOoDIhB1+nPkH7tA6hQYCE1JCdpayELBw1WJrDXEiOn98ccY9uhQlJ4k40awrw+RuAfQ37kamb5z2YJBV5QPaUhf/N/5UQCAJ8Ir0OxBVEbdj+6Abx8N8gLIuf7NRYhSlLI+1zJ9AX4sJHPRXSHHIN/1LZQGQaylGfdj3IQg5J0ji+jQ2+5GdRNhy5I7taGyXo5JhnCp1lPZ+F//VViQ+TQA4IDXEsxqIcrAVf1isadkKGZpidBaf7kaXCR7LaGCtJjkdQJqhR9OlpNFdP+EalQ0KQEAA92vwj0kBjA8XyUAXXEBY+zy//kj7JtA+suU358xpZ2tq0Fy6DMA+AsGnbsnpPU17D0ZEnANGeV9mBT9B0Hv8Bw1+vJSlN1KRE565R5EstcSTPiS6EWAI66U7LUEEgkT28Vo/2z0yj3I8q/GxbQymXWAGPZiC+HjHtNQIVFg3+PGOrtIW1DnTnZOXVoyAQWZ4+gY5l5FmMoKV3yDtSe9EBlO5hDfFg1v0cRle6LhpdSOmXb4Wd4u4PGQ+6CUk74w+MrPWHpwJgZEkX5WcbEB8VPJe+jSVI3drXewuo4MyEOfnAMo7T+BtRkXSw/OZMxqyzaHsb/3PX4eyV5LTOTubZGi78GNh8OEoADWt/NoJxq1YQ6Pj1sM1JCU7/wfSo5f4omICKkGLXkE6LGTUt/C/imvMu+KbGw8ZGVF5CADreEfQVjEWntYE/hxZFz973cmYjLmYMk70ZXbzu3xirTHmzV1vQov7V4KgPT733s/AAC47frXNtcn2WsJPng7jXlYbGEt6SrY8q51RLzGEWBO9Gvm/rnYusrF5DfAMg2hJjMDktuIMelcWYyrqmnol5Ni9tr21iYALD+nruJZtmd4ijXP4o1SnrQVlmgauwOOEqrToVhyJ2egVdtFNbIN3c1F7rAhKCd227U85ajpdi3PGhyGBaUgaYvVFzSx9ksim/71JZPfkr2WINlrCTOYpVv+D9It/wfF0OHoMzaKHcfNgC5I2gJl0XmzDCTqkBhM2f4Cpmx/AdImNf49fQPk0UMgjx6CtiMHiOHt4sqbZCjtoRDc7GvhtayxCNjCkEI9BNzrTF2vspj1LVauuZectu8HQe+Y/Eafi/A+tL5B7PpWV9rNTVYz1Gkd2gt6n7nb8nnnpyasMcvi8MHbaWbLMyfaY65+PKXLzAzS5q1aNqhz6+AWN9ikL5uDsug81lYtwtqqRSbHVu7cw2vPfY/nYPSZjRh9ZiPWVi1CbZMTapusb4BR4aLUhDVwixuMaQvGs3L3PZ6DnZO28q7DvRdqoNsCW5kJzL2nYnCqLcfSgzN5/dzcu0Svf1U1DVdV0wCQ+ovdA80LoPd6ru/dZutricFCrO9pMjNEWXqoGJM5bJiw02x95dFD0Ozqg2ZX4mHul5PCri18L+lOFxeWxp+03n9FWu+/WqybELT9KKwZFsK+cfaNDWbrZOmdtgZaJi2X257WFpliz0ys7lyYi+m35V3gjjNi54QtvqfdxndXsoOI3au58TLZa0mn2UrMPf9lm8OwbHNYu8rSnD3V4XrYC8qi8x2e//7I0Eskdv13o9FtHvBTlyt58UaZ4XMRps3mxRByDdvmwHA0/e+/5NwPTyL+43vQpq4HwGcZoS86HUQH3B2O3rGRkCpI+MC1g+fYdrt0/BRIM0+gtaaWlUOFd0JuHwNpcJhJ8k/9ISLqUpVdzEsKvZ5+ESWvEFnUW1L+ievpF03EL7jQFeWTPyKHQVpfw64z+YsHWHyhNWh9g5DjTbZCQzS5KHRWweP1+wEAfoPD4D5mDO/43P5k4uufuxNZ4XNYLGdi7ZfG2OHocex+ACA0cSIkfoHi4iAG0HNDW3OhLDQa26HaHONziYoBJBIWTvNGkht8A5VYNZCEE3HDFcxNyI19SCy3094fTJL9uF54YZw6d6L2G+GFqHmm8u7y6CGAXg+dqwcAoME/HIqUTWzBMWtkrYkAEZrIVqjmCskL4NbJHFtIU28VXK8bJ3Mug8eKlEjMWD4a8b+REKm2o7/jevpFhDz+CABAWl/DxJ+0p45B3rcv1JHkXhQpmwCpFJoq0pdbm1qYNH1B0haceXIn7qwjnuxW70DIckmdLny+A1EvLGHvGpUtp8+JiqVQFN65HEp9DQAg8Mph6FzcITEMIeXBw+Gd/Bmp3x33okHhg+bXyPa10BgQi+PmPkvudjL3eZb/vBMBs2fa5OFr8/SDNOc8tIawMalCjqZ4sg3urGmAS1me2XO5oNvGTw0icfPl3v0RnL1f1LtLPaXmdoU0mRkon/MkACA4e79ZJiHAtphMXh0M/RGu7rzfitIyEBJHypy5fy52v1LHYoyp51zMM5iasAaTv1oMiV+g2WtSAR/t9VJRZiMxFdes8DmIurIVmixjHLvw+dN2u6aKR9Cx76EpvgYAUAwdzqtDU2klTqw7zq6h8/CGtL4GANB85jRcht9itt3a45HlxmfrDqXazNhk6ThhHbihDTkJr7KxGCBx8sLn4AjgGsnpt69C7N4XAZgmuHeVmI29YKk/cEMnq1e+jgfrX3IILYIbCUf1gNedFN/J6yg8R06za3nW4FAhKLaivZR1gHECyP/ie/R98F7esdR7LCZcQssRUwH8I1Mj3azsCmIQLqIc+bl111ajI7dJD3rQgx70oPvgsAb4qb12Lc9zxO12Lc8abkoDHOBvMbns+x6/P7cdQMdo1DoL7cUsVGbkIP1hkuDDOImzSOJE5rAlGLD9TQBGb73Qg0uhc3HnsbLYjLY2qPsOM5YnkSJ11ipeezAjK/8sNBezROtAdyJMDDGDHDlkMrNVqA0bDq+CMzyj2xEM8JsNf1Zj2FxfcUSazh70QAzdHavbgx50BRzVAK89tc+u5XmNmGrX8qyh22PAcz/+Brkff2M13ksY06UsOo+UqtFIqRqN1vpGFqtNvZ36yjLoK8vQmpvNtkkBsh1/5PEPceTxDwEQtpAzfe/GGUMcZ82+/YyiTQi6LS+EzMsTve+5k8VCs3hAT2/A0xvReVtZfLiy6LzJtiMNrQDQMeMbAGQy/sCv1+HUxkzeIZ+eG4lPz41Esu/DkEcPwdwXmzH3xWbeMdF5W5loD++ZyGSATMZ7DsIYTK+CMwCMsfDCvy2BG4sqjBG1BKE6qRBT16uQ/8X3yP/ie2gyM0xicpcenMm7ni3x9rrrxbzP9o7Lo/1HGNv9e+8HzKpNajIzeL+1nDuDxvTjaEw/Dk1mBtZWLeL9nt0/Adn9E0zeu4KkLRbvx1p72wPCuGRhqEp70ZFneiNhLzVJS3GzNFdADNznbe35WqrnjVLEPPXyp7zP3Odrq2pkV6kOt8f4bo/CpS3x0OZyADqKm1mB01zOEW2jm/neevDHgcN4wDPDjRRRYuDGQ7Lsdo7ICzWyaZwcCzv4dilaKyvgFE4GpvpDhyH3JhRN5XOeRMC2Dy2K99ByvM6eQpBLKTybCKsCV1lSctt01CZ9Dv9EfgZtecRYAECjVImgGsJ1Kq8oMuGqTfZagqHvkc/C8BgxWOIfpgOLUJgF4HtWLcWXcmMRLRnPNDZXqOLJE0i6QBYB8sHRVu/LmrecO6jaylfKDVei7U7j231eWcFyDszx7IoJ8VAvlyX2F2v3Yi5+eM+cVDx29W8AgFdyljAeZIAvxPPpuZF4dNgZuOz+H4COq4MWbvwRoQvvYlRuUS/wjW/uxM+NTQbIM7AW20kXszQevT2MOZZCw7oTlhhHHBEFSVsYH/+N8s6K6QV0Bh0R4rHFG23v3SZHYfv4o8Ecr357y+jIvNEDx/WA15z+1a7led8y2a7lWYPDGOAdAXdQNjdAFyRtQe/YSItKmNSz3SfngMk1qAEiHTfZhNKs7gBRIXQJ8EXN5QIEzuWrKFFjOORvD0LaZORxbTh2DEff+o1X34y3/g8AMOTVR6zdtk0489pnGP7mox0+vzPKiFw4YjiF9jIxwPVaLesLjpIkpE47CGUc4X6t2bcfJ99Pt+kZiImm2DKB0OPMGeCA5b6QmrCGifiELb7HJDmyJwTpxqExnSQjusWO5n0vpKC0JxyN7q4HPeiB/eGwBviZA3Ytz3t4vF3Ls4ZuV8JkPNv7VgBOzlD/sg0A4P6Xe9EqJ9n8WsP/XLGIuNUzmBdZk5nBU37keq7HvTkFact3YUgWMUabk7agt+HasltvQ9vR39FqmET0s25Dw2WikFWVXYywxfdwkjiH8DzDzr17If0dIpIQt3oGMj7PRNTz5JpBOb+hIGkLY0npHXuY3a88egicPdzI/QJodXHHNf9hiLiDlIWWZiYQQCE0Yk+EEoXAUYWbeR7KojtfQMgvpA6D5ozicdcWqG5HlZYI+PRvu8jz4FPmCwBAfR20fQebXF/I1AAA2rp6uI8di7IIwsThnfwZr6zmXv1Ze0HgPQWAHSe9mJfsmioe/rWETUSqaYJTbbnZLW1FyiaoE8iAUIo+iMrbZmro03WlRILWPNIG1347zROckUdE8NpPX16Kluhbyb3J3VEk7w+93khNZMKCwmkfRcom1CYSIyfgyhFeuVwVUoBQvXGVCMObSJ2dtE2ozi1B219HkPacCsQF+RtvvFWLgv+ROoQtupuogBmUC3vHRiL/i+/hHkie8dlPz8JvBOl3Pv18yM5KFWEDaY2IgqyJMAhlfXcYw57qBdUsIkhCDfn9gUSoY+LplTw1WHn0ELQpCXtOo1cwRp/ZyJiDaD24xwoXvi0ZRsVXLriqqQ0KH7i3VKNcQcR3InJ38XZZAL5B3+odiCYPsvOlLDqPlgAibOPcUA1pQy2aThJ1XddRo3jPjB4PkGcvCegF1NWQAzy9mbf+Qq4OCbG1UG1/CwARpzpeNQgRPkTsIlSbw1NFjcrbBnWooX56Pe9dy0l4Ff1/IfkgsripcKop472HipRN0NY3knucMQfZXoTJSLX9Lcijh+DMa4RlZvibj+KaKh7K5gp2H05urrw2pW39hccW9DaMlUJP4ue6h/BQzWqUxpLvfX75xKyzQl9eipKx8xgzjjx6iHGhFRCGFoUnO1ZZdB7FAyYhYNuHxvpQ0aPTqdC3aqE3iOlInGRora0jTEkAqvf+Cvdg8jzL5zyJwOT/wDkyilcnXTERHpGGhiN1JmENmnjwHTT+8iNc/LwBAI0zFyGtZhgAcTYaefQQ6NxInVvTD5m800KnAVUvbnN2NWHQES5SuUxQtByu0iIAhM1PRHLg33D4BHne40a5YYaESGs3ePZhIX3m6mNucctlbGnyCGQ7kx2BuV0Ec3oQ5na2xBwcVPFVEtCLfbdJ/hASAo+JMuK0p65i3u481XSE54jzRnPH6+vpF3l11foFMwrP6pWvo/ifWzH22re88y3t7Jmbxyw5pTqqStkZJcwe3HjclB5wrhQwID4Y1IWSgTd92P0YcHe4RQ+NJS+dNe8f/a0iebdJCAoX1vhk7eVx7iyywudAtf0tUfowR0F7k/Jo2zamXeDxlTuSV56Cu6VeHxyFY7cstukZNAYNhNO+HzvuaeYYnvbEzSLS1IM/BrhGWE9C5M2Jmy3E688AR/WAV5/9za7l+QybaNfyrMGhDXDu5C1mdHE9sbp7SOgGHXCpwbtl4Ge45/KjFleFVBVwTNvvUJTns7Ll0UNQ1Y8IU/heTUdW+BwMPk48UJKAXihQGShrXlkKn1dWsIRGei1q+E1MW8sLX0lNWMNiebtzgqDtJ1zx27t8wHoIgjokhomAWDPWXs9fgJfrX7KpXMDUCBSL63YUWAsdaU+btgfmFoBCI0b42Z4el44a63+GeM3/ND2If7h+YfEYeyuT9hiwPehBDwDHNcCrzpkXzOsIfIfG2bU8a3AYA7w9Xk064XI9mUIvNte45CYkNhw7BmcPN96xliYuYYyj2DWl4yZDknEcsrBw3rnmPK2tudlw6j+Ad+9ucSTso7MeZ6GBJhajaUu8c3s88sIkTLHfbJnIbY0X7mi8Nu03oqE3ZmCLsW6tPrYaMgVJW+AVFgDXXn7sO3lUDLIi5gIwTcKcNbIWff7vKQBA/sFsDHtjqcWyLQlDqdMIZSaNP+dCmGvRnj7akRhwe0qI94DAkXd9ugo9C4ge9MA+6DHAuwbdaoB3dLsw463/Q9mxakz5eRkAoM3bHzpnEjftXFUCgG80CBXZaHyeVKJD5JVfcPW/RI2xz9ioDhmQp17+FNHzboVm5l/ZsUImkdNhxECLbjoG9Vf/hd+k8eRkV3eoQ2JQ8PizAICw9etMYgYp6PdcZhFu/bhtKDR8hG3NNZYtqfEJ28FSPGFB0hacfWon+vsaY2OLn3kOABC5bLHFexIqR4otyKgKZPORNMgMyqa2eNaPDyfxzLc8PgKn1/NlhRvTLgAw9brS6zNjffoCKAvJ38IQKHuBW1cuLBmj3OdvyXAVtmdHkyO5/Voik6H89CX0mT+X/dYZg4fbB7j9jNsfhYsoefQQaC9moXkqYQ+y9fp0m9vWhWay1xKM+DgRABB8/1/acVf2AW1bS+OR2DsPkLa0OaSsphLw9rN8TAcgNqZ0dYKuPRdyWp/eaHYn+RjWnkN7wI317ZIFg15PckXMwF7hHl292DHX3o68++XIdWsvHNYAzzho1/J8h5g6oLoSDuMBtwV0wK7Luwb/BMuSoVwlzM4MwrbGgDsKi4a9QBcl/R6e16lyumKS7WgM+M3gVW27egWyfhHtPq+HbaQHPehBD3rQFXBUA7zy/GHrB7UDfjHjbDruk08+wSeffIKrV68CAKKjo/Haa69hxowZ7bpetwvxUBQkbREVF6GGBZdVoTL7OgDCstHcq7+JSIE6JAaXfjqKSz8dxZRvHuGJLggFGNQhMWjqrUJTb3EBg8AxPggc44Nzfe82uU7kfBUi56uguZCJPk//w0QIoyBpCwqStpDvpDLGW173expPFMWcaIAt4F3TylqKK/hhTTTD74234PfGWx2uF4U8uA/kwX1sOtZWQZLpx55vVx1ueXwEbnl8BE688B8AfOGO1pxLaM25JHpdc3WxRcSD3ouJgIaTs8XzMr4wSusWJG0BqipEhWRo3ejzl0cPQcu0+Uj2WsJiqUv7T0Bpf+OKnpbDvS91SAwToeLifL+/4Hw/U0/v1PUq3jWEwh/FAyaheMAkk2vS98CSWAz3GuZAmRO4MCvcZGhrsfbTuSqt1iMrfA57Ny9G3GnxWC6s9WFzbWBJAIlSnloCV0SMW5b28kW0efqhzdNPtH7c8aejQjxi33PbvKuET4TPlXsde4rt2FPg5kbAXB8T+84eQlC2CAX1oAd/FISEhGDVqlU4ceIETpw4gcmTJ2P27NnIzMy0fjIH3eYB3+E8yCJ/tyVoMjMgDw2FvqWFfCGVQHudTMyWRHVs/V54jLly6WDf5+l/oHjdevi+9ib7jVJtAUBDrJEdRZGyCc6Bgai/ZQr7nLZ8F4vtFVLUiVERcanEuAPnAXUsL/xDGC4iTGqNV6YD4G/rNQQPhk4iY2EGep0eiiFDWTs8Xr2cbVnSLV5hTDVNTu398zpWrli8NXf7sz3bdTcytpNSuUmkEotc8vZER5NENRcybRI8sgZL7SsWQmSv7Xh63+/eV2A28dNcKIYtdWhPom8P/hywte+KJSOLnbfdewkSamzvW109lnRXaEgP/lhwVA94xfkjdi3PP2Zsh8/19fXF2rVr8dBDtrdVt/GAjz6zEeC8tCdC74PbE9PgEegBAFC89QHcWmoAAMriLKiDo6DYS8IiitIyEBIHOPkSbk5tRRUUocEAiNKlx4QJ0Jw/y8q+nn4RIX6+AICmvAJUZV8DAIQ88gBQVQb1IML9rNj7Ha7sJEZpxPSRhJfXYFyqQ2KwbHMYz2BsbSYGtu5QKoLGDMYZkMFo9MUN0PUdgPqdyeSaE7zh88snAIghr047CNd6gzDP+Cm45fyDUJ4jns9EfRrgRe4rt8oHUeAbPYXOKrjLCG8s9Ho0yQmPrXfyZ7gYNBLTDhOvdWtjE74Z9RnuDiH84oqUTRg1m/Bsq5UxaCiXQqm+wO6NDqA6CfHSl568TMp9+Q1o9HocMBjv7yrTgSLRR8rK0hk2Vq7Nfg7u75IkwYC+h6HJz2fHyaOH4N37ClhZRXe+gIjcXaxtuUm2hc4qoqppeBauudlQTyRxx5+eG8lT4xTG3wNgHnhN8TU0l1ex710CfKGPTyDH1JWj7eI5SF0Jl/IP/V7DDP9jgKFcargBQGL0lygeMAnB50l9syLvg3LFAzjzxHYARKG0QUGeYeChzTh8y3JMKCGKlc2B4dDK3Vl5Eb41kICsgemiaYPBaV21ex88B/WDRELaszFuNhS7Cf8sXdCUbSW8wS3qZlz+PhcA+Rw2rQ8KUkg/H3B3OHrHRsIpluQdaDz84FJK+kLFjj3wemAR2vaTe3EZfgsUzTWsrZ0DA6EtI5zCzdP/Co/qfDR4h5D7xhAM3PMB2jQpAICSJ9dj4Kkk1tZOo8ZBep3wNUMmQ+aQRQhpI/zJJ5uGokEjY206/djz+PcDREBGmXce+ao7UNFC2jD1tAsG9yftdfv2J6FOeIA34esry5AdRniiR+A843auCRwE36vpRkGsqfnoH0c8mXWew+BRnY8T3mRxPDzlZZPE7i/1ZCA9cqgEU6cGYc7Jp1nbA0CLM9EnaHFyYwq53AU0YGpglUWMg3cyYVJKGbcOs9q2ovUYSSSSRw+BzsXd2GbefmxRMm9VPIZmbYXPHtK+uhYNUsat4y+i6+sAAL+GP44GjQzDPiDn+ryygo2dPw5bh4TAYxBCtpUwrLTNfdCYu9K3L3QBwUAeEa5qrayC84gxaPEm+Q/n5bEYuvtlAIDz8JHA9SJoBxEO+yY3Ei/tuutrVpY6chyra9nWHQi4jTxT7fVSyPv2BXQ6AIA6agJvYeV+bCf2P7oZANFcaC6vQkttAwBA8fhLqH37NdJc/3wdNf9aYXgPgLGvxzNRIqGhWHfgN3jGT2Tv4bRM05yDzHAyxoRps1HpEgxFJmkXpzFx7Lz4EDJvpD1P3rtfXpwJ/SxjiNyxkPkoUxt1Hfr7VjOnSt2B3/Db7CTmNKnXumB0/jcAgKuDZqJJ5wK1hoxHo2p2Q1pfw8rhhuFpMjN4Dg51SAxSa8l9xznzx0Pn3r1QezoTssVPkPZL2YTHq5cDANb7rTVdwEukSPYkuyJi/ZqNi16xvJwZsXh/qugblbfNLPFAstcSuMvbMLmcOKQaggfDvfgCLIE6liJ8a5ia9tHgBbi1mM/VzXNoOTkDBgcZt47cutNyfd01qGqQszbgLuTFwG0nc44ugK8Wa45tylx7Lj04k8yfAJZtDmN//9kWQnpJ9wdxtLW1YcuWLWhoaMDYse0z4LvNA37qciV5GQxhGdfDx8F3+6dIn/IvAEDziGG8F5O7xUU9xsqLJP4n9b5PETnfsEX4xkcIzt7PPOuxL4xF+pojPKEeOoEqc0+grbQEjeNIcpUwEVHf1oaD/9wDgAz88kGR0Fwik5F8yHA0HCIJAO7jxkMdHAVZGxGWODLyYYw+sxHuVQaxiIZaVOwg5ZQ98QlU299idaBeal0RMU5b1fVWvZhcTzbd7vdsKscBdSymHSbJnNSY4AmXtLWRAmQyi54XTWYGsr4jbStU0+QN/AKPq8Y/BC0u3jwRBVqf5ul/hWfhWZiDMGFKLM5bTDSDxt5z20S4c1C1ex8AoLagAsHjo1lC2sinY+EZTdhopAoXaEpK2DnUuBETfsnun4ABudt5k7q+sgwSPyIewvXsC++jTemDAxNfYp9Hn9lokhxbl/AwAKD62SfQd/IwtFTVkoPnP8ZLsi09eRne/ySiHsJ6iiUunn1jA2mz946YeoBrKkkdYvg8qMqi8yx0oXDdx3D990fGhbFhgmAJfjteZAtf5969sD1iOeK3EyNWGTeBNxkJDdXmM6fhMvwWXvvZwlZjKR+gNTcb+lFxuPYuEYPxCgtghgdtM9pGOjdPSBvreOdzdyKECc48gRpnObRniNiPuXdKuECkfwvRVpCHpkLSD+XeSl55Yu8sFUWSqatRuZOMMYfnb+K1ScZb/4eYt8h9374uBE+9HGdiFNC2vnYki5f3YS2R0ZLB9UHQO8zASE1Yw4TTWqbNR6GzigkbUWE1ipRx60yMPW4Sqb68FI1XrgIAjr71G6ufOiQGc19sxvYJZMF16JW97LfCjT8iZPo4k+RpGnLz2NCTcK8h3oDWY2lomTafJUQL75/XJoYkR3PtwO2fYsnuKePWIXkH2b3l9nlhOZU798Bv5h0wB27fSE1YwwgKGkOj0CZ15l33YNBfmUOA1guwnGBvK7j15/XzhnporuaJ3ps12Jrzk5qwhiXVxyvTUb3ydaxUkfPoOyw2nuuKCyANDutQHo2YKFtHjeCu4rBP9lrC62MdgaN6wMszTZ0JnYGnajhaaGSFAQqFAgqFwuTYjIwMjB07Fs3NzfDw8MC3336LmTPNhEOaQbcZ4HXrnuYpVk5OeQXZ73wOhZLcaNAYoxojZT1oLCGqb25B/pAHBSE7djEAwOX1JZC8SeJ7qxfNx5BX+XHfE/51ByQyYuinjFuH27aSQdclwBcSqYRnDNOBHgBuO/wefh/3DADClpHQ/B0kpYUAgNqhU9D0Lgk56f2XWdDXVGKtnsQm/234SZ4HNifhVUSW/goAaPANg9O2JMhmGOJrDxDPiXMA8RjVj7jd4otXHxzFVn3KrIPQFJL6tEybj2WbwzBvVTyrr3AlrvIj3t+cSl8MCyhCWM5eCKFzcUeDfzg8TpHfLt76GAZf+VnUaNBkZvBCUvQKN0haGnnGsM5VCQD41eMvmFr+FRvkhJOsLYPshYjZAACFRIOAlkKT+gBGFTinmjJWLvW0fPfiAXyccAK6Q6mk/nfMw/56ojQ4yeMY5Hu+Y31h2eYwAMCgaGJUL/NJ4l3jkiQGGzYRg+2Zhc4YfOVn3u/0/A2xPyE58G+8SZi7kyKcoFu/+AD1fyfKfv6bV8Fl3ARoT6ezNqNezbDF96DVKwCyKyTmTHu9FC3TF8BZQ3ZHDsU+yjNqjk1ZjZomEhMdr0yHRznxgGtPkQGM3vfx4QtN+k7d78RDe+WBD6CQaRGiIR7Gxe+5Y8sD5yEtJYbL2ransazPDwCABn9Cycn1FKn8qpBTSXaikneU4qkHyLv+wdct+MDlTSQeJQqvlA6UG9udOIuo5U3wPgef/JMoUk0GAHg1lzHWHAq66HMODITEPxD6KuKd1vcdiHcLSB96bOhJ1Lj0xpnyUNYmQuNYeH1h/6THSvVtKFAMBEDeLWv9WKhGyZv49Xqmosmtw4aRW1CvioVHcRY7Rx49hL1f0iY1GoJJPy9QDMR7G7VY77MaANkBFFJQCt/nVq8AAECTshfvneIuooULIXOsNfQ3ZdF5VCQT5UH/hGnsvmifSLhC6idRuADuStT2JQswp7YWuNYaFsM6Hep++RluBkXY0pOX4eLlCi8VeW5Fd76AvMHECXEyKRMjF0cjZArpK34DehuT9TnOB5M2B5D/xfcshNClqRrOlcUmlLMlx4hx1/fBe9l9Lj04E/NWxbMQQu67LYQYE5G1BdsnZ0YCAJ4L/QnSJrXosQzUG6hrY8wndL7gzkd6nR65d5JdA9X2t4wecJ/VJvUpSNqC+hXEK59b5YOEnFXkUgb1SltDUMQWckIGJ8B0sSN8TkLWFkttWB8cxd4XQHzXgKKjYW3Cci1BWNf2kgnYis4Y76kJa/DdiwcA8I11hzXAs47btbz/fL8TK1as4H33+uuv44033jA5VqPRoKCgADU1Nfjxxx/x3//+F7/99huioqJsvp7jsKCIbAmZQ8l3PyNo3mzedx2JRbMXTVV7yjH3cthSf/oCU2ODGg22whHi9WwRW2EDlWF3BLo29j2F83AyMUkMUuw2QSIF9Lp21lhQJ/w5+IULN/4IAAhdeJfJb/QZztRtQ9vR37udeUU4afQwwvTA3ujKd54tsuL32jwH2oo/ChWePb30PWg/HNUAL8s6YdfyvPoPsdkDLsTUqVPRv39/fPbZZzZfz3EMcANsMRIrtqfAP2GaxQTO/C++B0C8FZc/+BoDnyJql9qLWdAbvCGiYRoCCLfUuPWisaX1K76BcsUDJsYK/Z0rBETRcu4MAEAxdLjZ++wIuCwAPq+sMNuO5gZmupi48imJn4t4bIHVa1p6ZvWHSCiLx3jr9D42G05VFYCvv9XyAP7iiPYDbmgD9cYN+2AmwhbfY7f75h7Tnom7avc++E6fyuoet3qG2fZITViDKclk1yU1cS2vj3Hv2xaKzIvvJgEw8rXbivP/+i80Da0AgBFvP2Yi/MR9D28UzIly3cwTty2GlKXxkCYTK4YMtWu9xIS+HAWOtlC2N1WtIzhUbEWPuNbNjT+LAR4YNarD506ZMgWhoaFISkqy+RyHM8BtBTcuEACGPkIGo4DZ7YvBsQdSE9Zg8P0DELT4fgAkJlSSdwm/LiHxj3GrZ0B2620AgLoff8CpD0+yLcv6d99G1teX2OCkryxD/TCyvW5uYNVeJNtqzpHGrQ5NZgacYsezOFZ9WQkQ2h+SlkZ2DDWG5d5KSMdNhu4wCYvhbi3rFW4kLEFKtjPTnt+BuNUzcD2dxL7zJpC6GsDTmxk4MqUHUQM1dClNlrH+QuNBOCCrQ2Ig30WM34Mv7RYdrOl2tuJvz1lcNNHygc5zf9NyuIZwV0/sHZVkvxEQ3rs9J1a2KB0+EpqMM6y9ufHh9PpCoa2b2bjuQfehuzUCrv73u05rLXQXHG2B04Oug6Ma4KUXTtq1vF6DR9p03D//+U/MmDEDoaGhUKvV2Lx5M1atWoXdu3fj9ttvt/l6djPAa2pq4O3tbfPx5ZnHcLr1FrjcT2Jwhz84Ec4jxkBCM72d5SaUZ9UrScKZzysrUL3ydRbXKJakRT0zYvLbQs5SGgsm3/UtJFIJ+07RXAP8Roz8nIRXodr+FsvkjmjMwKFYkqBIDVSucSpk4qCQjpuMax98DJ9XjHFG3GxngMT6AkBlrRSL8TmaA0k8rUtZHupCh6HIiXyOOv8/JPchyVV3HHwGFxLexPD8H9g9/ku5CvdOJGwBXMrCQ42jMDltGUv2U2gbIDGEZlS9vYK1L22/lmnz8Vu9IW6zxpjpXn3xKiqf+xwD6kiMsnNlMa6p4hmrh19tHuTlJBGVxrtVhpPsfLm2EQfUsbiYR647N7YCqlwSD58VPgc7Tnph0ahsAEBq0WAkBB5DobPK5F7yZJEYmv8D8lUkQalvzh6URYyDRzNJKpRpmyE5sN34rKtqofD1InUIDQU8vdlvXEMuK3wOpBIdIpLfBkCef24VSXiLV6YjVxbJ2jpfdQd8m6+ZxMdTfDf0fcwJOsae9f+cHsKwkBoAwO5THnhs6En2G5ctgCap6SbPAQBccTP24ai8bbzEwazwOfB75yE01zYBAHxfexMX5j1GnuGQXlD28YV7MIln574vQmVJAKif9SCcW0k5ipRN7P2oXvk6whbfw08+VbhBLyNkSu8WzcW8XwirjM8rK1DnGoCAbSQB0nn4SGSHToOrlJR74noYwnxI3/z9vCsejj7Bowg8FjIfY4qM7w+Nm6ZMMTIlYUuShYVDHRLD+sb7X2uwciFpW5/qK3Cuvs7GAvcVa9EkI+fVtXkiVJvDylcWZgASCdMDcL1u/C3Zawlhr7hA6pPc6++MuYI+p+bpRAW3yCmclwAsNFK+dX4If/E9AADQOruS3wwJsMl9n8O0w89CnW9Iwlz6LK/P14UOg+z7T0n9Jk1FXvBEBLaYsh/84PYgyqqAB1TH2TPkMjtQJgeAMAx5vH4/G7tEk8oyDXLPXj68BOfz/f4CqUTHnosQzXIlAq4QmjD6PgFA5JVf2LUAQB4VA71cgfpeJI5eotfBrYrkeNT0ioT30W2oPEaSe71UoWgsqYDewJjiHhzIHDEDLu6F939fgUsAyTPgMpkU1HjhfK6eJYVyF3UA0NhnEPvb9ezvuDbuPgRn7ze2Aad9i1STsS+HjMHzA/bxxpeUcevYuA0A5/reDbWWbF+Pv/YNNskfwvgNhHmHjq0/FZM50NdTxxbdVf1isXZvBP4VQ5i0uI4UgDxHDwXZyb1VehjVHiE4WU7qpHRpRXwpYZ9p6q2CLHUrO4/u5IqNpceHLxRdiPy37UEAwMOyL4xfGpJP81TkXvxaSnCyZRjG7yc7cpdnvY68ajLOJtZ+CdTXoW4wkfn2LDyLZK8lmHVpJQBA2juYd1/xynQ2FjS1SHFv8+csWfau2DI064zhAFF52/Be7WIAgCpMwpINH77PE7+dU7CxVRibz3UcqENioCzOArSG0AMXN6BVyxwhPm5a+LiQsUr5+gKELb6HjUe5VT48lhR2vwYcD7kPgyG+SOGylyiaa5CiNRpuIwPy0CfnAK6p4gEAfXIO8M41x4Iy98VmPPVyHBuf6LtqzqnD1QAQozymcFQD/PrF03Ytr3fkLdYPAvDQQw8hNTX1/9m77vCoqvT9ziQz6b2QDim0EDoB6aEZSiLYxQboLrquiiuruGtvu4LY2f2pq4KsioguQgDpoDTpJaQAaaRCejKpM8nM749vzpl77/RkAkHzPo+PTO6955576ne+8n4oKyuDj48PhgwZgmXLltklfAMdFMCXL1+OPn364O676eR+11134YcffkBISAi2bduGoUOHWi1DqgG3J1UxnzzNNCkgd8Ke22mjZ5OKaTbGnvwMR0b+QWSOZ8IvW3DYIIzb8roo2l6dkQ65K1FIqSemYH3JBCySCeqtd2VRZ2fCOXE8Gv0p8M6rNAuqsIGGKPptf4MqzBBUKtNpjehz2L1SVgwhpIwF0iASUVBHQz1UA8aZDJqSMlBIYUmzYaqfWFtPOvwetrcbOM9Z8KPwu0xp7019q5TRRfjdQsuHNc2VlD2n7x3RuPQ9ReMLgxSVgwaTNmoxuZ68XXk/36zZN7J31e3dD5+pSRbf6wiwAC9T32iqj4RWIUuuK7ZAOPeEWkJp4B3jibdUJ1aOpXeoM9KhHDyMytHPFVOMANIDg3LQYCNhSli+I7nlmZDmXnrBanmWrBi2usQI53Nx3FRE5Oy1+t6OvAewzD1v1E/d2NpQt3c/TrxLB4+mA1mc7YWB0w5K1hZrELFnWWCysVcrLKKpK8nscIyKOVwrLXWXv4eJKfrg0h5cW/QI4F2DDgngMTEx+OqrrzBu3Djs2rULd911F9avX4/vvvsOhYWF2Llzp9Uymvf+VxRAp6u4iuwxi3E4h3x7p69JFvmNChf+xqNHob39YUMEv28wnC6ShqSlsARuo0ahvYBYHnRDx8D5cjbUJcSJ3NbUzLlh1RnpOD7jLUS4E0tC75ydRu9ryyfNjmbsTJySj8HYkxS5r21qRuPlEgCAWy+iaWMLtE7mBO/0vTjzLmlIQ4eGoeFZ4gGPLj2AK1+sRfCjiwEAqg3fwnd4AtTxVKdi70GIzRVvgtKNlGUuHHb5e84MImThoAqrAYXhVL744GysuI8yiJ5Xx2NC2Vcmk+vU7d0Pn9EjUBdPLjM+hWf484Bkg9a/g5VTfctjCMk9wDcnj8p8zhmc+oKB3YJBSrvk1kDMJYzBRIrPtbQILPLcwDW/TaH94F520azA0xg+ELrv6NDk5KKE26hRaDpOG7TbhCQc8ic2mlHth+Bans+/5SXFGxif6M43R6EWsTQuCa+scce/bqHJf8F7LBIK/sfbaJXfclydS+w5oRVnccZ7GkYVEY9xa1BvPLFxEG9HoSbD8/Qe5Hy7CyHLiWnAqzQLWhd37PGgOs6o/FLsyyuTc+7n+uMncXylgZJp4vJZosNk4ZoN8O9LmqaL89/HiELyzWbjnAmX7XIF6t2CuPYvzWcRZsqpHEXNFZyIvIdzP1fMexK9ys/jyxrKEvmw/HPeBv+aexYFvsMRd4y0Zg1Dp2K/KpFrqOIGBOHZwC95G3w65kc+XhlTjFDDI03+JIRwbZBSQAp5l9u9/HA5mDj/o6pOisYZK0Po0ywc85aoJdN8FsHHjfzgv/q+it/PnpXCVhcjawmRpDzBbF3499dNonerIgfDtYHWOEXNFVE5bPwxytRmv3DOuyxlOQLIta1hBGl5hCwtn/RfzZkxhGjpFQsAePKH/qIxb4pVxhyEMTx7UlYg/oH+CEiIAUCHajYe0nwWYU7rd5C3NPLv9ipK5+8UtgmLtRDSEHpdpj1kz9x3jMaYlH3DHKRjQ/qc8LeUEUkIacC9+8SBZpUN0kORNMGZbMIMo343B2n20GlbnrUpMZg9AjjzhbfFh92Wdhcm8GLsUwxSLbE1kgPA+FDW42rTfQXwsuwzDi0vdMAwh5ZnDR0SwN3c3HDx4kVERkZiyZIlaGlpwSeffIKLFy9izJgxqKmpsVqGVANuLsOdEMLFYdqWZ/nixLQZALgrCPfdfXsOoNWKeKMZnN/4F0KPrEf2GBKGhUIs03gwV4w9C7YjuW+ukSmI1V0ooLX5BsO5thxtvmTyP6CciX4+ZFJlJnllvF6TKOCQBWzTyLDvFgoXwroAps2JwrY1l2WT3df8ER00gm+dY7U+Ughp1hwZACe0VNijuZJyhrM6ZW04gvgPiI6r2bOXSZ5yU+PRlrFqiR9ZqsFl+Fz7MB7IekpU38jZE0TcxdLnGH3czxOfEfV30dofTDKYSLEnZYXIKiDkywcMiTsAwHc60b1JafSEdZPy25tLbmGL8MWEI6ElorMw12f2BMjZKow5Gh0VBGz5Nls41609b25cW7rf1rKlh0n2PdIDGVt7AdvmgKMDGbvKQiBM2nKt4Oig0c7A3Jpjbxmmnjdnfe9qS09X0RB2BbqrAF564ZxDywvr79ggdWvokAAeFhaG77//HuPGjUP//v3xxhtv4M4778SFCxeQmJiI+vp6q2WYCsKUbjDS1OlssLKFofEI+RdWXSg28r/+toA0yn90/gL/aXsIf3QmTZwlwZP5tQnxvTv5v93R9IXRs3VRw+j/rz2PsKf+jF8U5H7BsngJWVKYj6RX8XlUb98NxR+e4uWwTI/XGmyzlPqvO7J851HEfmKNw1YVkYBCBSXFYdnMzOFI2L0YuYuS2dhzYIn6y1gMfWVxh1O9OwKmhChLfMpdXQemhWP88Za0y+x+oRl/9r5bjSwbHUVHg09ZYiR7YO8Ga4/w21FB2dKGvC/4QUwpX2vx+bxYcqmKyf3JYgIYKSyuiRJYolH9vWsJbwSYGveOOIR0d9ekHnQOPQJ416BDAvjjjz+OLVu2oG/fvjh9+jQKCgrg6emJ9evXY/ny5Th16pTVMlgino7gxLP/QujQUB4wqfR0g3sIBd4w9xJGJyd3dkLY2HiUHiHfY2mWt4nLZ4lS5EohDOYUmjuFKPhsPSKShqGtgUy/VRn56DVmEIr3nwEAeEcEwH8WBQmqz5/F1ZMXEXk3aZYvf70ZvUb0hVxBgWzK8DCejZAFwLFgTpYxrvYimdV8+4nNbSxDKAAot32Fg3/fyX8D4MFUqkETyTRbR4l5WgoKoUkhE2+JMgauf78PAa+8Liqb1eHxmmWGwBF9/UqXUuCNb5Q/3Jf8DVWvUHuGTxqKqrOU0t7jL38HAMh/MLiD7Jr8ocH/MfeEwY9f7zPvdeFXqm//m3Bs2IOY+uVCAED92UyUPPw+AEPwlzDg9cCynxA7rzcAcX8Xrf0BvUb247/tGX/20vp1FEbBQXb6VHd0TknZIArjyM1AmqxJe6UEiKPsp21HD6Ch6CqnTZTC3nZiAZBtzq5WmVaE9RVSN/7WYYn271rQ0pkbY91JW2oPbGVB6SoBc0/KCr5G9xxgCCa1/a0t9H8X12tfoR50WwG85GK69ZvsQHi/a3uI7JAArtFo8OGHH6KwsBALFy7E8OHkuP7+++/D09MTf/jDH6yW0RkBXOgTCJhIw7vlWSNfNgYWXAnY7xbR7h0Ap/oq/luYHMCe8oQChaMWdkdroMxt9NNXxdml8ewKmi97NHYbPR9C1OPE7ekfQ4e08PEkQErTJVvqi42eD+HWhi9MXnNk21fEjOXMEfaULfUJNmXVEH6rPdpm6ViQPutoLugebaoxqqJHIyD/WIfXLkvCuTRDoK3B8KbeYc+B0RTFpy2wNE+FKe/NKUw6U745ZLxFa0PUqndtHrv2vMeRLii2UofeCNzd9vaVTh9nYk8Ct+uxHnU395TuKoAXX3Rsv0T0S7B+kwNhtwCu0WiwePFivPjii4iJienwi5kLSkcEtHbvAJR8+LFow+duBfFrAf9AkVDQlp8D52jSrmmyM0UMHMzPFCBfU6kwwQL2mGbdlH8zAHwQupIvkF1l5rMXlhZtawuXPf1ii6+uPUJzR2CufaUHBunhZ/Y+oinb+JarzX0j9SW31I7W2tlSH2VGzzPyd5++isax9BAkZH8AIDqEWupDVj9p+7E+/cOJB+F38zSzz0shdKfxKj5v09hgfWSLa1BnDqys7QDj9mNoyyGGE+e4/iavXy+Y0jDbIxh0ZJ29Xr7u1mBpDHSVJt7WtuiubfZ7g72Koh5YRo8A3jXokAbc19cXp06d6pQAXpFBjA2XH3uK/vDpNuTX+PCASiHFHoN27SoAwIl3j2H0mbUit4PHa5YBoKjn/apEDP2ANnOp64hQQwIAytBQqMuId7etqRkV6QUAiEdZCJcd69A24w6oPloJAKh+5jMetFm4ZgMufZ+PpgPEHjCnfSMafSP4s/tViSI6LFPcyqijwFXVoIncx5bxybYGkTuF2sULaoU7/vZfYor5dNQPyE8gATJ809v4Ov59zD/7OH3XuMk46D0Xw52JqeNAYyKCPYmDuaLBFQEeLfBWksvMpaoATPUkdw+Xxiq0uXhBu4XatuXOP0PR1szrxPhJAeDKhs2ofvYLLlirIhKgcg1EnZb4XyPUufy5Ga6/QL73R8gmkivOh7nJuD2xDBuOhQAgHvBerZd5+3wQuhL3jabfPxfGYr76c655Tdt6lbvBnG0fhgllX4lcJi7H3YxzFcT4keR1nAfSAhBF3wPARRlpw2PkOTg1+G4Ro0KQZytcnUlTom53xlWVGy+zwLk/orS51IfKXghoKcF/zpOm/Y8JJ/jY3DHuXchkxJ8OADW9R8K5vRVHW4nw31OpQZuWKClrmhRIrVsNrZsXAKAxoLcRh7NwHHmc2IHGUcm8zRpLyjnXNwBc3ktBpS5eLpQVtYTcsFTh8XBtpvGm3f8TZHIZH4/atauIYlG/LKgiBfz5Cnc4aduglTkBAC61xSH0jdtEfPw6/TWZrp3YgPSBrcx3nLGgAEDqHGLNqK6XY4HO0L8znXciy3Ms6tWuvF383ClF9+jdyyhQMJuSSsHTGwBwKooYk/afc8ejA+lau5PSiM5SyCfe5uSCPC0J5f10GfAqPi/ik2fjZOm3UUid00vU9ue0QzGmidxzCgISkVVJ7V7bIMcD7Z8bHUSgpx1dp1iElGBa+6TrglfxeTSF9oPyIPHhO8f2FTE8sPgRAFD84SlkIYFzDAutGgysbOE42a9KxOCgUoRXUb8cdZ2OoU5n+HgVBmGqIhLw8bmR/PCkihxsoIPTQysn1zm5tg2mwMrV3HwX9jYQA03a1qtIndNLtNYLg5qFzzEXvPyd5NYYcVM/QC6HVk3jwSOuDy5+Q20S/t5KI1c05t4h5Jhn39b2xQdYPZr4svv2NsT+zMl4BfKI3rgaOwEA4N5aiwzdEMR9QofJ7D/+FzllxEV9e8RRuOxaD2U4rTcr1EsQHOiMr1b9DAB47tXxcJIZ2mzd/ypFDCXrEt5HdC9aY+qanXn98uNm4tfCcNFYkTLvsN9pPoswMiif84ADxAUOADfpDsK1uhjqs9R+LVW18B4Sj8zhJFDFbXmdz/22Lz4wOmzvSVmB/E2UhO3u3seMxgmLO/DU1eFSSzQSdz0HwAQPeHs7MuKIpWdQ/kak+SzCjJ+fBAARheihsPtEnNq9fVUYsO1lfBC60tA/I+v4v4U84HeNuoxXV9MazeQANgeWfhuFlfNLINMRdbBXxgGoBk2EKRQp4rD1pA9mj6RYtrxqX36NxaPF+Nfya37uGtQ0KUT3MKzBwxgQTvvuTSXfYPHB2egbT4HzlzIrRO6cLP8HQHPXq/g8H4O9cg+K6miOB5ytA78XHvCiS5kOLS+yb7z1mxyIDgngixYtwuDBg/H0009bv9kMOpMJM//Tb5G3uRDTviH2ErS1cSGaCSv1+2kBrC0o5wkPABqgVzZQIojqZ79Av+pDcK6r4GVLNUVMy3loytvwdmnFiFPkpywL6gVtWTEAIOOzn9D/tpuMfMm58CJoYpcd69A86wG+YVlzfbAVRtqw9nbAyanD5TH6xeaJ80TlCjUL1thAqrbthM9AOqRdnPpXqxpwW90ianbusVkrm+azSMSSoxw0GLoqPf2cVoeG4dN43YX+mELBAxBr8LvUJFldCfgH8p+mMk8C1jWZ9b8cgPck0xuMKQjdqYRjUcibL/1mW6waHUkLL/1m4W97zeKW5pat/WiP+d9e07Gtc78zFqTCNRtMJiQzhctxN4voWG0tqzu5DdnLKmULuptLQA96cC3RXQXwwktZDi0vqu9A6zc5EB0SwN98802sXLkS06ZNw8iRI+Hh4SG6/uSTT1otozMCuKnsfeYWWlvp2MxB6oIigpwEXHX6GSgjI6GKp9Mq01bU7NwDAPC7eRoX1uWhpBl3tEuKJaHFlvttvWZrXQAD3SHQOfooR0Po6mBO8LQFjqRYNAV7+7QzKFr7AwB0aq7YAuHYsHUOXG/h53q/35FwxBjqKFtND3rQgxsTPQJ418C5Iw999tln8PX1xcmTJ3Hy5EnRNZlMZpMAzsA0eqPPrBVxVx8JuxcJcqKYYZu1Z0Uef05XYTBlXzmejVAFmYB0Go1IOO81sp+In7jmjZfhHUEaxpI/fohBZ76AupiEY2Eijsg5k9AwfBpc9OWwMtrXfAQAcFr4hIGODWeQOXQhZ+SYk/EK1HX1UJUSy0hZ9DzEZRCriDI0AuqMdHjp666KSIBXUTrKviOtfOjdc43aSCqoFMUR40No5TloFYao8KyYufB4iVJiRy00poyrvuUxAIBHaw2KlbHI8aFrSV7HDamJ8zbCq/g8Go+S6dNjzBhjc7oeXHvnrDe/tWlE92rdvXk69ctHs9D7obtEyX/GTwzFAt3nom8EjIVhJjRo/IkPu+zdD9H42lcAgJwqf1FqbWm2UAA8m6m2pQUFu89g1XTWpwAE71VFJMDzNB2aGoZPg1tDOS74jQcAyKDjhwip1lLr6Yu2owdEVhb2/h3j3hXxtUufzYqZi75V5DJR6x8D7y2fQRkZCYCYbNo8PNCURKZb1+1fof0mSpBU8tGnXBMJ0NhtL8iDTM+mU7zrKOf2Dhjhg2GvPWI4DJ1dA50+CKl58ES4l14QscO0+QbjahC55ng3V/B5d+5v72Poy3+EOpPaWD5+GmRnfkVzCSX5UPp6ieZZxGMPo+34IV5ua/J8nhjlUPj9GF/8NQAS6IZ+MBtur5EJNuBKBhr9o1CspCQu2Se0SPXXF+KsANo0olgN5voEUMpm1vZON01C6b8+w8XvyFVo2pZnUdKXuMyDqy9CUVUCS2AHNeAqMGcRZoGoDp3rKkRza0hQCcK307rwdd8VWKD7HA3hZMr01Lv9sDrJJsyA8wVyC5MFh0IdFAVFJpnJZUG9oIpI4GuMe2ggHyssffiAAx9Q20f05n8H9OO+upLaM5pYiVgm2qRVd6C9UZ81OCIBbT5B3OrHTNkuu9bTdUHOhDbfYLT+tAkeY8fyb2hNno8pOn3CpzpA5+IOALgcORF9cnYYBTVLMwsDACbPAn7+CfV51P7eMYZU5AxXjpPbQ0jiACgHDUbtbkoM5Tt9imhuK0J6Ye+CNfwdaGxA4QZ6Z9CQGLiNGMnbSbp2WaNfZXkcnGvLURU9GkoNuewJ1ydWrjnLlKlDNBs3s2Rb8ZPOkGch1r+G7yHFylhRXgp7Dk7CNcaUBa2zWXIB4zgYADg+4y3ugiJMIiR0+wEgsmYB4jZjbnbsns4efoUxM2wOAWKFkNCqw+ouhPA5z5fvw75F2/m+Jay38FvtRXeyIN1IkGYUv9HQIQ24I2CvBlw4Eau378bpVacwYD5NCqWnK5praINhCypzQXEL6wWdRiMSjoRQRSTAdTdlBZSmRweAC++R6Tnu5adRGjwckTm7+bX2QhJwmsalmtT2FnxGm1rTm+ugfoB85eLvHicKerOXQcUcpBO4dN1GhM2/tVNlmirXElrTz/G05Px5vRsOE7wcgtoqwDfApluFmxETIKQbItAxS0RXaMDbci/BObav2etdwSoDAJe/oDkgzD4L0DzyTprc4XKlbdRZDbgjmRm6w6ZnqwtKR+oqZMQR+ul31DIGkLBydgn5MAuFje7Qlgzsu8v0h/4e9KAHnUN31YAX5Fx0aHl94vpZv8mB6JQArlarkZ+fj9jYWDg726dM74wLir3ozCm64RBpJ5W+XkYbpVQL1102IEegq90rfk+wZ/xdr4QWQmF4+qo4bJtCyZCEdbFX+L0e2ft64Fh0NXtRV6A7ucjcCFR+vxf0MKN0HD0CeNegQ/r7pqYmPPzww3B3d8egQYNQWEgRuE8++STeeustm8rQunuLfi8+OBuqiASk+SwyiuYHwP+e5rMIlWnbAZkcmoBwaALCoc5Ih66qHLqqci5IqCISoIpIwJ6UFaIgvKyYuVBnpEOdkY7lFQ+K7gXAr6kz0qGKSIB7nwi49yG/bSGNmbb4Mi59n49L3+dDnZUBzWfvk3ncWYHymHGicjR+Ifxaa/o5qCISoA6KgjrIkEhnT8oK7ElZwRlPTIFpKRcfnI3FB2cjc8VqQ93ra5EXOwvt3gFo9w6AKiIBmdHz+L3C534NvxetQb1F382gzkgXtT9jhSiNS0JpXJKoH9q9A0Ttl+azCKqIBFT3SUR1n0Qypxfkob0gj18TPi/8fSLyHrPfzcC/pU1jdE1aLkPBZ+t522qLL4uuqSISqKw2DVBfy7+D3ZPmswiX427G5bibkR83UzQuLsak8nsvxqSi5cxpUTtoXT2gdfWAOiMdyYefFj0r/C/NZxHy42YiP24m3qtbiAPLfuLfefaVT43uF/YTdDqT1/h1AVQRCRQMrNOZnF8uO9Zxa8zGt1yhHDTYIHzrn2s6kIXSuCSj9wm/hc9fnQ5/ifnJqK+F/WWuvoVxM0TXT0bebXSfuTqoIhJ4W/PvNgHp+JOuG4BhvBlcUUyDPa+KSLB6r6m6m6uTNYjaW/BbisUHZ4vaRFgHdr+5OkVqciyOm6yYuciKMXabM1VX4btZmcIxLK2bubEtrS/rozSfRShcswGpdauRWreaK0hMtY10PkrLTPNZhC2+9B97h7AsYX8L13ppH65/br/ZdpAyygjfIayHdE0zBXPttfjgbJzpfYdR/5srwxqk7Wipj6Rzx9yzpt7B6psVM9fiO6TPmfu9+OBsxAzrJ+p36X3S/pfOLyEawuPREB5v1DeW6iCFqbVCOq5NwdZ15vcAnUzu0P+uNTqkAV+yZAkOHTqE999/HzNnzsS5c+cQExODzZs34+WXX8bp06etliHVgDMtoVmzdEM9pxwD9OwMseQT7DVxglH5QlN9/qffInoxCXhl6zeJ/KxVEQk4NuxBfq+5cuJu6wP/l14TuYwIKXw8XryXmztZ4KeunJhZ9j70X/S9gyiiohbeSVoRxuDi7dslQV6MvaKjrhWKYPJ/lAX1cmi9HAHVgYMm+9wUpAmZhPzYfe+I5i5LZ1/5FAPvHMt9VpsOZCG1brVJbmpz3NmmkBUzV+TLaQ26qnI8krUQAHD3W0mYtuVZPs7KBo3jLC0q10DUtvsiPpP8qAvXbxP5s1rKHsm+TYizr3wKABj6ymK7rDnC9p225VkjX13my9sRbuaOWmEsPWeuz66l5cHSuFEHRUFZUWjyOWtJcmztX3Nls3LsQVdYykyth+Zcr66Vhtnc+LA2boTf0pVW0s6M38644dkKltMA6FqramesHz1WX/PorhrwvNxch5YXExvr0PKsoUNBmD/++CPWr1+Pm266CTKZgT81Pj4euTY2CFswMlfQRAn96B6oD6djP5tAOC+eEJ7eUGdlAAAOPLMVkz+6Ddom4tcUcns7eXgYAo5gWLjDJ9Kzmf+9AE0zaUbOLtkGqAB3QZ0Ymsoq4Tt6uCir2tgXNKjPLwUA+I6fBv8VDwEAMr4kIcP/JVrIIh5WQn3mJOf1nHloOHQHd4nq01ZBQVDOShfMcf+Bs6S0VdfwOuwY9y7nHQUoqCo04zCCZBSA+vxaP/w75QQAQHtoDz4IXYklZX8FQMFL2LEOKhOBgYxbV0ibyHy1l66LxCdTXaE5TYFhrcOnwav4PNdyRahzRYGOykGD0RJMhwuN0gP7VYmcg9TDqQmhm97hfShs38drliF1Ti9RBj5FCAn7sgAS/tnGwFhlyuLIFzlAoME40JiI2TXig5vW3RuN/mRdmLh8FpwDKIJv3x++FtXh0vf5cHqTgvLiPwiBoiwfU3e+BABo8DoO1Bm4qjP95yG32g8AkIynoYpI4IexPXq+YSHXMHtPbEY60vT9yL4TAOpSSRByVatEwXw5KdOReoA47Sf6zYI6Ix1x+mf6HVwJzY9rAACBbi4IBNDm7sb7u+n4MVRmEHf6Tc9P5BpA74hAuIcG8rGsdf0F0FPpVm7ZAf+77sTAO8fydjk27EFM/XIh7wtGSXlh6jOI0lzi3/1B6EqMgEEAV0UkwD2U6tqWewnOI29CVB8DN3F5zDgcraIEN1V1cgT4aPm1lLzlaBg6lf9mXPAAMMDHoJmYc+ENNI5KhsdROhDJw6Ogzkjncy358NM83kOZfRjqoiJcOUqBkEKufvgkYk77Rpzym0ltL9GYC5MIAcCAaDnnFJYG+u4Y9y6/9mn6KCz1W8PLYQF7wrEcp6Tg7Bx9HXDhHP+WHeppmFNGgkpj4kws/ZbG8ScD1+DAsp8wcTmvEq0PgwyCRr9sog/MqW8X0W86B/gjbLjBirfk+Yki/nEA8HDVM1lVXYW6gGJbIJej9eZ74H6IAsSdoqJpzuuDhE8MepS3G5u/Mn2qcNWAcSJObmEb1LsFwfert+Ae0wcADFSg+jiRXl7NUHkZtIoeR7chcJSvqM01DRQQOW3Ls5w3vzB8HHp9+yYOv7IXgDjDplTIbMvPgbapGWeS3wQADNvxPJzHEG1n29EDUA4azK1//i2lFKyt/56clBex9SRxXD+afBIQBGUuPjhbxHGOcQah0H3YQNHhqC33En4a8Q8xt79+XBdO/iOiSo+gLJyCSIN+/FAkGEqzl0rB3jnDZT80Sg/eF4rgYOjaNGhMpHHvsmMdluqVDKsC1kM5cJDZsoRCLVv7hW1UpIgTCdnC5+K2vM7nKNvTWK4O6eF8DR7GvRlP8XKsHVzYe2L9a5CaT3U05f5mTdElbV8hpM+Zuy59hzB3g/QbhHWUfqOU6U16KLDEA96DGwcdEsArKioQHBxs9PfGxkaRQG6xjHlP4pujUZjR8AkAQNMuR2t1HRfeVF4JOBFMmukp5WtJUy3QtrVMuAWexSRUT9l9E9pOUiIZXZtGP1hJk9n3jmj4vfAqlPrEHTe9OBkKTxK5z0I/cb5/AgCw546PMOJJWvA8IkNQOTQZZ+8lWramA1lw0uyFwp0SMDg1N0Dd2AqAFvrW6jr83ECC1ORegNP0Pph1+HkAQNuYGdDohYKJIGH+4nRiKojP/xG4dB7ycNpolX4BgCsJVdn5xP7g6ULJA6ZseRZtNYdRFkiBjp/Gr4X6EGnZW5PnY46iDgcG0XdP/PVDfHBxGh4FsdRcjElFH/1kPq8dgoi5Iahu9KS2jkhAkTOd/D6d8COgNkx4pT5YLkJNB6siRRzi9ck/rhzPRkPKi3zRdQFwU6oXitpogx5wdS+26hfdWaf+DuWgwciOuQUAEHfMD3EB1Xg7n4ScqTNb0E9H/cmErznRJCXWNpAA1gYFf68f5RVBu16GYwl1RuI8tipuR/IO2gB1SSloP0BtAsAoKVOzlsZCi0cg6natQeAMEvIrIiPR1tsFg5yJ4aNF62LY8EBChHwuJT2akJQCzfpPkT2Qxk7SkAR8zDJAev1HtCC3Js/Hx+dGYrKaxk6jWsnHfLXaBxOXz0KjLwlkykGDUbNzD9we0Gst21vhNmoU7zP3g5vh1IsOCOq8PGjVhmQov755AAEjfPhv35unQ51+BgDgmnsa6j4UcBw4azrQVM/vU0UkYOLRVajwIoHNu6EMznoB/Mqgseh9eg1K5tLYXbLpr5Adfg9OmXQIPCOPxwhBwKv25K88QdbdbyVhSOZGzszR68wpeCnpAF3d4om9C9Zg9BkSwD2qLqMxeT5Gqck4p9O1I8ST6igPCYdX8Xm0VpEQ6xIehdbk+RjpSkLjjnHvYlYDJbLRtbYAWi0PQFS/vgb1GjqcD7+yGe3u3hiyneaoduo84KohcVQqzmNANI27tK1XMbJ/IBdiVMnzcV47BGPxDQBgYGA5ZC00EGePrAHyAJlOy/sQMARbVyeMwcCq7wEAOQGLcTF4EmKOHqB7w+mQLdMfAmU6rcHyogvC4MwfcSB+HgBijYpV1PCDFABEnqCg78L4J3HxghzuywxrIGuDjX92hVz3K7QgClWVayC8Wiqxb/rL/N5eIygIWJ08H155J4EoOkQ1hg+E0i8Ear0yYZT3t9ijf0dC1mb0yj2Iihg6yAVd/AVqGNhMogYNhkJD/R2gKYTc0x11Z+lg5KtwBnz80RBBc3ggznNhXBU5GE0FxZA7yXh76qrK0ZZXAAA489InqDpFjTBty7PY88peTHqX1hhFPwGzxbavoJ59P/+tbWqGctBgnlxLEdILFcE0J4IH1QIAipsoYUrv0p040/sOmErR4VWSCQwazBlTPp2wDW/nL8AH+gy7a+fmo7bdl27OOAwPpxLeZ7pRExHrW4MSGeVKuFQVgKQxdK1Z64qbVwRj2xTKO6EYngioW/h7hWsKs8aydRiTZyHWi9YUeUO7qL6yoF5oiEjAOe1QAMD4QefxKfRC/5pMRJkQwE2hNXk+lMXnEdSkT57WUIk6zyG8v1tS/w5UGe7PSXkRSRr9QaOO6t860jjbbGb0PPRpUmOHD+0b/h5qjC/+WnQYlibi4RYGwaHt0SEnoYJYqHWfOBAwYS1hhzOPahJis3tNRSwMjDQuO9YhTXB4yIqZiyQ1fQtTOKXBcAgQzsnsfC2yQfvCM/7nRYl4BkTL+b3CfRUwrBuMuSwk94Cozp9O2AYUs3+f5/8G0CWJeLordDbKm90VHXJBmTx5Mu644w488cQT8PLywrlz5xAdHY3HH38cOTk52L59u9UyOhOEyQKDLDFCsIHl+fJ9eCNuNd/IbA3EYKZNS+Y55hP+t+2Lsf65/UYpiM09aypdsS1puDsLW94h9S1j99pjphS+Rxio6ih01GXHngQ+1wvC8WlqnJhbSGt378Ozrm/z36ZcZoSQ9ue1GH/W0JEkPT0wj866Fphq644kGgJ6zPo96MGNjO7qgpKTm+/Q8uJio63f5EB0SAA/fPgwZs6cifvuuw9r1qzBI488goyMDBw5cgQ///wzRo4cabWMioyjlMr2Y9IixTx6r2jBb/MJglMeaUQbhk4VbQS6qnLIAoJRGpdE1594GGGjSIOraWyG80NL0Pp/ZL72josEtFpulnbZsY77+bJ09m0ziGfZLf0A6k7TOxkHL9tA2pqa0X7rQyKzKoMyIgKZwxbxE7Pn2b2QBQRzBpXKBa+iT/r/6GY3D86hynAxJhWh6nzRsx2BVGCzxkIh5EgVonDNBkSmkibYWl2EfSYV9ErjkuD95T8AAJ7jx1kspzhuKkIqqRzn2nKT72FcrAOPfWKzb/r0VXHY0I+sLAoPN3iOHycy2TI3h2f8vxT9fYfAbcTad1oCo20z5wcqFWiE1y/H3YxzFeHcVHt2yTak5JEPgjZ6IEo+/NjAXyuX48AzW3k5o5eNw7HlNP4YB7OQjrFtOll2nHf/IHKhUP70DVpnPyBKIW+OKlNoKgYMbkWAwQ1H6AKwX5WI3r4qat/THlzDLLyfvUfYDsJxbUooNCeUS/tJ+JuZhoU8+cI8AKYOjEZuDAKeaCls8UVldWDtKzTRA0BTWH+4l14QPSNUOkjHDmu/D0JXisazUqChNVfXtK3k1vavuWeN+NFFz1ZXQjUkCQBp/4Tp5F2bqqCoLhN9P7tujz++FNJ+3JOygrtIbYlZhiHvkWuV/0uvofmj5Uj/nNbwaWnPGLIR68H6233iQLN82ELXIsC6P7GlQyFzSTFVjinaVun4q4wmlXhg/lGLdQDE67mlA7V0/zGH1vRzUM+616a5ZQ3qjHSjTNHmINy37HmPcD6YUl4Ahjb6wvOfDlUKdQSWXFC6G3oE8K5Bh2kI09PTsXLlSpw8eRJarRYjRozAsmXLMHiwbZOFa8D12SSvRI9D/qw7cdPLxHiwd9GXPIKcZSxkGxVzI6juQ4upR9rnUM+6l/5dXQh5U70o0K6pqhExM+lQIHdRwjmUEj+oC/IBuRzOiZRsRd5QK4qcD1vyGJq9DIKee30Z2o9QnXJSXkTwh48CAAInJkJdUsr9CQfqTUlel2jRvDz4VoSmvUeFTJoF7N/K/ZLlvcJ4YhOATI0ygakREGsnhUmFAL0JFIAqPJ42xF/JB7x1xt1GXMtXYsnH8b/HY/BU393Y3kb+e6l1q7nFwMe5DqFFx1C1ntohaC69W+qPDQB1e/fDZ2oSv+baVIUW9wBu3uznmgdXNQlcOpkTvIvO8nuXfhslWiCldGemNG0sucm+hjH8mqnNRFiW1t0b+6a+wK8JE4IIXWIG5G02EsCHBJXg++NhAIBZI2pFqegB8OQvgZs+4uWxuo8ILgBAiWyEC2u7dwCc6g222c3eizDFm4TfC7IEDNn+PKr0ri0Bm1ahpaIarkE0VhrmPAT/ArqXJTkRxihMXb0AMnfy5S36YQfPatl49Cj23vyxyUOAqYBSVUQCmpUU8Bx0dCO5cgCQe3oirfdfcVMAmZnXnuyPxYNP8HnZmjwfylbqb8WZA2gcMxtemQcBACcHPQJ3RQsCQQLg82v9uGAS618D9+fno88faO4fCrsP40u/5v19Vjcc40sp2LTxyBF4jB3LD7f7Zv/HrM+lcL0AyFWMCQEDS3dCc+qo2YQlgNga9NQDSt7/0jEnHKvmgsml7Sv8t5SXniXFcR45FnK9e1CbbzB+0s0xmhNave+2vKWRl1vlGo4Nx0JEh2/hmBe2EasHu858hAHK2iv0JbckRLN1gf2ueeNlStSij9uRjZsGxWUaN1VDb4bXls+hrqWxovT3EX2r8J2tyfNxbNiD3J1q2GuP0AFSH/9zaesZHliqikhAm5MLPLatASB2N8t+Zw0GPH4PoPdRNyXUs7nE3ivsl83ei3BLvQlBXKcDZDKzmn5pECZrb1aHnJQXIZPRFjwwb5PZcrRXSiAPMU5YxCD1A1fqc1poPX3RGNBb9C3pfW5HQQ3Nb2GftX78DgJTks2+Qwg2boXvzUl5EcEf/QkAEJiSLMqL0ZkgUXusLuzgl+R1HC671uPxKnKXk8oQorrU1wLevtApaWyw/deWA6L0u0r6TkH4pX0d+i7hWiBt385YkIQH7I5aOLurAH4p97JDy+sba56FrivQIR9wABg8eDC+/LLjHL+qiAR8fG4kHvr1PgBA2aO3oamgBXsXUZlTv1yI9fp4KXVGOhCRwP3LRp9ZC21tMfzzKU08oiLxhD5Y6dMJNGjZYtqaPB+Xhj2ImNmkbdO2qg1BRgA0tfWA3gez7GgW5M50IOiVOAA/IQXuw8hntelAFlKrPkHVRfITi8/biD2fkK9u0uB+uHryIvxuaQAAuGxeh9bk+dA1kb/puYpw5Oi1k6PP3I1jyww+ydO+/iOcfX3QOEa/2QsCelbrHsYimcFVRxWRAGVQb0M2r5wfoAkiX13X3d/BdcJItM4wULat1j2MO0CHgIzoWxHeRoP10SEnUaPsjVidwd8+sk0fPKvRQe0TAp848uNu8w1Gs2cwz0oY7tPI/dbcegUgM3oeBlyh7JFblXcgCcfh50Lf7dyu5nXxLjwDdeZ56CJJOO8/KBiZ0fMMwUyRpwA9DZD6/FlUxstR0o8CJPflx+D+ts8h15E/Y5LXce7v1/DqPCD/RxTE0cbRJ2cHlcEEihFjRGNh8bdRuPstln11Pvo06DcQmRwH9MGUANALzQjd9A7unrsEAFDf7m0IvFEBSd4n4Negd7xLmgPNlg34WkeLlJ9WBzcNjQXnzV8CIwwWofYj+6GdNBN13tRvW/57FUF3kRasstEFdct+wnruN/0Tbnp+ItfEJbUdB/TCsLJ3b0xamYKW6fpEI8t+Qs3JdD5+NU2tOLZ0FQBg2ENkzdCW6Nk1IhJQHkMWCb/sTOiqyuGSobfs6MceC5ZMGj4NXvr4CfXly0gueRpX5pJwdCGjHPv7JCIZ9KxW7gzZfsoW2Zg8H67NNUiL/AsAIG3dVTz1gBJBeVTWPbcugI8rBdLlVvthqLOcb3ixLoUojJuBN9aQz/9dtzrjSBgdsAdrD1M8yD/18SCzqe+yolPpt8DvlAlvDDvGvYtBcvLp15w6Cl1SClQuXhDiaiyx6/TKPYix44ll6cihMrRpnfmYuvR9Pgr/dj8mlFE21rStV5E6ksa8zFdUHN+gmX/pN4qHcU/tD/SczyJMlp0SbbLHhj3Ix6BwLXAuvIhUn0q0ptOaI5PLkJv6AmLT3uDPMuGi/ZZlGBAtx56JhizD+wWCSayiBtAzeda7BQERCTzjr6a8nB9YJq1MQYr/P6DTKwtUkYPhVZQu0hAnwSDIqzPSoegVy9soJNGgLHDZtR5qLfnFywe3Q+7qCqW+rZx9fdB2/BAPgkzyPgHnUTQ+WwFMfHsOznxGQo2uqhya+gYovCl+pfJErSibss/RzWjUv3N08nxAL9CU7CtH+HujuIBTn1+KwEGDsaKSfIv/sjITzkGB/FtaqZHpu8PjkeByBeoj+rUiaQ6+Lp8BALgj8ihcdqwTactX6x7G1/+iRHDfvHsBRzxo7EILKJy0GKVX0CgThiJSk8P7LW3cu5iTSGOjPCQB72yLwPL+dBhrHJVs1nKmzkhHxbwnEfTjh/x6SxjxGWudnPk9AI0TT+dGBHpQLBPqDAJmyYUyBKZABGGAsykhuGzuUgCAu1aFmhYPlH1MlrPQJ/5PdJ8yNk4k0Kb5LMK4ddRPAbNv5vcdCrsP6jYnNLTSOubvoQYaYdEHnFubSj5AKvSKmaAZ8JtxN/CtUZUBSNhzvH1FVIJFijhsPenDY5By9RmjWRtkRs/jhyb3uJtR2hSIykZqz7j2agiPSat1DyMuVB8rduUrsQ+4IUQHmdHzuAXdFlgKwjTlA95/kGlL9g3vA47foQ/4qVOnoFAouLZ706ZNWL16NeLj4/HKK69AqVRaLWOroj9PPw/Yl9lvT8oKwyYlgT1mHLY5dja7IDtZs4UKgMi03Jo8n5s+k7yOizdZExCm4ZVqqtjfAWC29kc0+Qimu0zGuWX3qxIxIrgA3s0V/DKrw1j/TBypjjdZdlbMXMTVHEWLB21G7nUlcFLVcAH3H2uc+GR30mrgXnoBmov6wJupd+D/zoxETja98+17SyHXtonewbjDm7xDsa8+kWuVpNHiprQemmzS9rdMv6tDGUQ7ooWRsll0tBx7ILR42EOz5ihKNkvmUOmYlKIzZtTCOBJq/FrK4Lr3ex5Ep/ELgaLmiqhuIu2URg1V9Air72duMEAPTVkPCLa6wQgFNEtZXM25PphDRvStGJS/kb/D0W4IqogEeFbkQXOKFDGOHrusHdxUV+FcV2Hl7hsHXUENfCOju2rAL+aapmztKPrFRlm/yYHokACemJiI5557Drfffjvy8vIQHx+P2267DcePH8ecOXPw/vvvWy2jM0GYpnw7panmhdR9o54eDZ+pSQBsS7UMGHzwpJuucOFlgvvE5bNE5k5TEPrnmRLgHJViXFgnYb1tBTP/Mi3YtcriZs/mY+/iaIkfubtBKETbI+hr3bzQduJwhw8JtgiXHTl4dIaX90ZCVwQbOwrXkuP8WsDS95gy4/ege8GaosDeQ0wPuh7dVQC/kFvk0PL6x0Y6tDxr6JAA7uPjg1OnTiE2NhbLly/H3r17sWPHDhw6dAj33HMPioqsN0pFxlGiY3uTNFJxP3wJv5KzgJxMZppTR6GdQv65rnlnob58mbug+L3wKrwuHUXbFQr4cY4Wm7e0JYXcpUO+4T9o17TBNcCX7vX3Q/UJWpQDp04A5DKo8/IAkPBRvpFcRYLuuRMNQTGixdytoZwHMZXGJaFxyR8AAH2SR6G59Cpk9/8ZAOBRW4xG3wjUvEHUXlEL7wQaySVB2ysC1d+uR+A0fSIZN/Lh5ALQ0BE80yNzQWEZM+WaFlwNGoQLtTRIphb8G/Dw5M8fTHobo374IwDAe9JErNY9jDmx5MdT0hbOzWbDLhMNGsu6mec1jNMMHhv2IMae/AzuZfoUry3NUMUlYl899dMUb4Nm/8rxbDS8+jX61ZBbgXNtOUrjkqABWUAirh5H+6+/AAAaZy+E76mfUDWKXAV+rYlHi1qG/GJyK7l3TCH3nWvzDcZ7ebNw7xg63f5yOQaTo3K5C4r/5n/zDfhYxD0YXfwt56PtnbNTRMnlPNJAUcn6uOk4uS4V3PUPkdlNmIBoR/9lGOhfCnct+alW6HpxHvBJPqdxSTcAo4q+5c8pw8NwYAC5q0y88hXvT/m4qfiq7hbcHkEaKJfWerx0aCxuHu/C3xvtQ2PKV1MBv8sn0RSqNx9/vwZKXy80zl4IAHBrqYVGQbRpnmf3QhceDW3GGfrO2L6o/+UA5E5kutW2t+PK6QIAQMjwPnAN8IV8PDHAaBWukGmpLXW/GDMWVc59grvXOGua0eJG3936fyvhHRMOVQotxgH5x9DmG4w2vRuH69VcQ3Y/mQxFcdMReT6Nfru64XLczQhopnKPqUch1ItMvNtO+uGJ0qW8T1uDeuOUYjwGKCgA8VDdEPi5kzvT4G8Ww3vyJKj11hDlwEGARo2s/iT4vrdWgzcfJPOrf0U22o8dxOXdlBhM+cFaKEDlhOXsR3nMOLipye+YzXOh3+p2f2r3I6fVGD9CiZur1gAATkXdBa1ODndncgeK1OTAuY3+/UX+JPzZ7QvkxtL6E5vLaASpXb5R/gG3++4GAOR6Dkd083k47SENKAv8bS8kF7mmcakGd7P8H8m/9OJe3r5ZMXNFLig8i9/VMSi52oal4RT43XbiMDT1tP6cuX0VItwriNsaxr7bThu/gHviaACgLLajJkFx4RT1y8AxyPMYiv5V5LK3TXYLxgRQHwXrXYt4TgAXT04lCFD8RpUbuV25a1UIOLAebbXU/8rISLSHR3NrnkynhbKV+kXlFQafmgK+7mpLCqG6kIe6QtK2Xvre4E4YmnEYcVteNwjnGjWgoLVoi+8ibN5ylQt2zI9/f68HAABJV//Ly2FB/kKt91WX3ojLpb2hNag3vimfDsDggqKMoG9Li3oalbVyBPqSu02ETwOa2vTroXsFzlWEGw6jLc1I6/UYp5ltaHXCLBm9ozBgJD79yRtv9SMXFNTVAD5+vD6mXFDY+rm/1wMYqaAxr1A3wiXrKDRXyAeYKaqE44rBlGCsqyrHp17PAQAeUX7B/84ON8wy6tlei/TG/hi/j3yuL6W8hLxqXwB0+Nb4hSDHjwJKPV66H2eXbDMZW7Av+EH4ujajuI72tYZmOearP7fogsKu3TumEK+upvXxLw8q8N5ajchN48PbL6DNmdbdo8MX8m+V+lszv/ycKnK9CvVu5u8Lfv12RC28k+fFyKnyh7+HGtWNBqu/UNmwWvcwxsSQX1ykJgf7VYnkVgPwuBbAOAaK1amkL7lhSv3K7XVB6SwNYXcVwLNzi63fZAcGxEY4tDxr6JAA7u3tjZMnT6Jv376YMWMGUlJSsGTJEhQWFqJ///5obm62WkZHNOBcSI2MBLx9RdpeqQZcW0z+ztqWFmhb1SY1g8yc7tpMg1X3y3aDEHDuDFyGDOPvcD11Fn4ujaJEA7w+/fqj8OtNRtovoVZbquEWJg/IrfazWUMonahSsHKHfZSCyAdvt8nEKgwqs8ctx0jDVF0J+AeK7nGkZlDYZvb4q7E6RDz2MA/0YmBuLYoBplh+rz10FVctMrx0lUbZlv62JVC2M++8Fhn5OgpTjELXsr7W5r0pdMSqZk2D3F1M87a0/bXKktmDzkO4rvVowLsfegTwrkGHBPCpU6ciMjIS06dPx8MPP4zMzEzExcXh559/xoIFC1BQUGC1DHMCuFAjIaUlc68njfeFF1bCM9gTmiY6SSrclYi6g07i6suXoRw0GBWbaAK7+nvDtVcgdBqN0bsupbyEQZc3oy2XtDjO0XFGpvj01/8DAIh/+zm07vkJ7bdS9kuv4vNcsAsYGIW8necw+EXSPqO2CvANQM3OPfo6+MB5BkW36A7uQsHuM4h7npL/1Hz3HQJm3wxdFWl4tsQss2uDYweNtrp6HFj2E+Ju6wMA8I4IMOK8ZkF4xbuOIiJ5LOShxoONaX8YewHLjGZKkOaCu34IXf3fFvS6PVWkSYjd9AoAwGXIMADm3UGEm6UlWjkAcPbxRlsdCdLWXH8A8iEGgCsf/Athk4ajqYi0f26hQZB7kqal+ng6vGPCoQwn1hP4BpgvUN+/ZespxXzo3XONzOJMK/OM/5dioaW9HYX//R+nD1QOGgxNAGn+6v+7GlpNG2eeSX/9P/Bf+w3XfrSmn4NMbkhIkt7ndvTf+oqoasxK5Bnih4YrNfzvfi+8CveD+oyGfWKMPqm9gKxA+x//HsVbL2CBzjA/r/5AWmxnNxd4hAXxv7sOHYb6AwdxaRv1y8i3HuPjUebmBs2Vq1D2JivL5e+2o/dDd6H13BkAECVFAShRirO3t9n6WYIllwQhS4Oj3DC60rVBOA+ajh/j2mjG0sET25g40LboAyBdr4qzEReu2QAnBVlGwu+7TdRe7H0sVb1fHz9R2VLBX9rWjUfJsuMWFW5yPTF3AFdnpEMxjIKTG3qRxcdWujvGAASYSU3/IwX+1h/+Fd6TJhqVCRB7TNvJX42YUEyVCQBl6zchIMEwLm0dS9YOAR05WNmL7nJossXNzVaKROkzgHUlT2tQb7hU0PokZESRKu+kcNR87+yB0Jb2s+UdrL0ufZ9vc326qwCelVti/SY7MDDWPNNQV6BDAvjZs2dx3333oaioCE8//TRefplcLZ544glUVVXhm2++sVpGZzTgZUez0Puhu0TR+DPltCCzYC22mMbO642wsfEWN2hz9FrS9O3taz6CeyhpeC2liWXlyhTE4tAy7U64bP9G9Jy99bEX1srpEr/Q9nZA7wLRFciIpuxyUZpLNi+IUmGj7x0Gnk+/F141y+3dkUXXEclsStdtRNj8W63WwRrHuz1wpEBpimoNuDEDF4Xppq0JMB2x9NiaFMzRsKe/ra0T53pTDoUherc2e2BEnSeJ65H+rQc96MH1QXcVwDNzSh1aXnxcmEPLs4YO84CbQktLC5ycnKDQC54W77VBADe3CJfHjOM+h+bAfJsiNTmcrQOwf9PTVZDvnNQtQJ2RDqexSQCAkg8/FmXbZPgtZcK0BWyz7uy3dJUJkmmCukPWR3Moi5uM0ByiMGPtYKvbyUbPh/DTdjqA2vptTGPC4gyUFY6NKrcH0vlu6rt/64F1XTX2ewRax+G3FtTagx5YQ48A3jWwSwCXy+WQyYx5F729vdG/f388++yzuO2222wqq1M+4L17A57eor9bYkGZ8M+ZPOOYuUx6wmdtqoNAA874hm1lQTEFR7GgCOvZkU0iI/pW9N3ymkVT9/XGkbB7MbZUbGWx1IdCS0l3MMUKYUmT3RAeD099oiVr0Lp7o+34oQ4LBl0loP1eWFCuB37rh5GO4HqzoPT4L/fgt4juKoBn5JQ5tLxBcaEOLc8a7BLAN23aZPLvtbW1OHbsGFavXo0vv/wSd95pXWhjArgjBE+h35jUB2pPygpM+ew+7PvD1/w9wndKBVVrqahNLegsI2RHoM5IR+vMe0WMAY5CR1PRA+bboavM5l3lC/nA9qn4ywFKVlNzlvzGhePD1sNXR9MjOxK2+HLyZDFpx1FfTMwXY1c9abIswFgwLlyzAWeXbLsuArPwQHutBaffglazo4coe3yELQm110rgPfX8xxjx5qP8t3A9t9WH2NEBmh1xQeqIv7MlWFPy2AtH168rYO+87U6p6G8kdFcB/HzOFYeWlxAX4tDyrMGuTJhz5841e23BggWIj4/HypUrbRLAGaSLIBOIihRxZgUy6aQTTqTEZ8cCAC5/8R3/m9zVlb+n3csPA+/ry98lzoMHNFU1in6z4LRtQ19HarF4k2rLp4VO/uDj2CPQgFtbFISJhLwAOFfkmb23o2gMH4hn8KVFAfNa+J/aesCyR/guXbcRtX//0qbnnn/ME4o86mXF17tQnjDGZJ34ZqPPfgedVlSO8CDD+najJwXkOjvp4D5xoMlvZMlfhAKOJS1Z+uv/4cG8bJxYSy4DUKKgK8ezETyMNpi8fx7gCXPU+iRCwjTN0rGsLTNEk6dfaEOqiXXIlNBiKYbi43Mj8cjQMwAA76KzZr8BEG/2rSau26NJt0UQlQqLtmziQorCrkJnhFhrMR/Ce4Trgrk2VUUkGK3D0roJ28SeencmMDCwryFAWupHDoAo+wDA1Y2nnpdCmHZeCnVGOj4IXYlHh5wEAB4LZKl9zQlzlgR9rzB/s+WZgjXtelev59crmFPY9p2xMIiVRz3Cdw+uPxzqA37p0iWMHj0aNTU1Vu/tTCIe6cncXKQ8YBtLhiW05V4CQDzLaT6LkJK3HACIKcTKRs8Evb53ROOhhr8BMF4kHRH850hIg0/tEWJM4VoILdbAmDcYE4uwTkK2ku4GezY8Rql5vV0SbPHj7kHX4HrMte4WT/FbsGT83tHjxtP90F014Ok5Vx1a3uA48xTAXQG7NODW0NzcDFdX0xoHR8IniqjQSuOSAABeEQmAJDU5o6kafWYtcv/+N8Q+dh8A4MqGzfCPjxbdeyiMrgmJ8Rl+XkJJMsIyDyE57Wm065OZONeWo7GEqAMVIeXQXLmKLaPfAwDc1vgFCU9bqAytpy++WPVPAIAq4lUcG/YgL58dDhgNoRfsE6DMZe5kEPrGC5PVmMN+VSJScR5ydzd9fc0L2R+fG4ln/A1pmYWJitiz8VnUL3B1s/gdQlooaxuoPaZRoZWjfONWBN86B2H/oYQ5qoVP4BmYFrxtYaqxNXukPS4V6qwMTv04S7ZVVA9TfcHqkIynxSwSgnIAarPIOZMAGAcUF67ZgKhbKOED43EXjiMWDxCSOMBq37DrrI8m/qAf69OnWPlyx6EhnDjddTK52Xa3x+Xp7eoFGBAtt3iI6OpMmLYcxixZDOWCdcuRSJ2jH0t14r9L3d9szV7ZWQjf0VVubddbSfJbR4/w3QNbodMZxyTeSHCoBvyJJ55Abm4utm2zPoE6owHXunlB3qyyeI8wCHPEkyM5J7Y6KMqI6UEoSEk3UiN3BbmeZk/bzu8VcjrbAnOmfHvKsFQ2cH1S0XdG+9TV3MoA0Dd7F6JydomudabdO/KsPfSQ6ox0KIICIQu2HhgiLdfevmDZQRnvtC3vkEKane/3pInsSUV/7dCTiv7GRk+CpBsP3VUDfu6SYxUKQ/oGO7Q8a7BLAH/66adN/r2urg4nTpxAbm4uDhw4gOHDh1stqzMC+LWcwCyxiDyCEooIN1rhv39ri72jDgQ99Gf2Qaq5vlb4LfF396AHPehBDxyH7iqAn7lU4dDyhvUNsn6TA2GXAD5limkzsre3NwYMGIDHHnsMvfWZ76yhMwI4gyqShAOW5Aa4TgJDfS323PupUWCPsl9/AEB5/yQEn95Kf/TxE2Vym7h8Fs/0CVAwnbVv0LoTBaOQdk6dkQ5lfAKgp4lUZ6Tj8ZplInOeUMhi/2a/GTojeLX5BMG5rkL0HqkFoTPlV27ZAQA4+/HZa65BuZaate7sNy0dN9fiMGxL27OA2FsbvjC65miKzx70oAfXFvZQBffA8eiuAvjpS5UOLW9430CHlmcNDnVBsQedEcBZNLPQT3X2PsoeuG3KRpFwl/vvrxE5eYhYULVD+MuNpSCj2FxjtxqW2n3fI99yVhMAnPWC1W/2vlvxhSf5gEctvFPMgtJFC4o1IbEr6MTYc8LFsrsJk3tSVsDl5DkAwISyrzpVlqXDBKO7Aq4N20xnYe5bHOm+cCPQmjkK18OCYAsNXXew1P2exkEP7ENX+e33oHPoEcC7BjeMAC6cmDU798Dv5mmo3b0PAND06Ktw//hlAICvPtjrzEufAADi508AtFqj4DBWZtyW10lzDHDtsRBXf0gDAGiWvQeflnJDoGBcX6hziCFFERyMsx/9COV/Savdr/oQSj/4Ny8j7Kk/838715abdDOo2bkHAKAqrba6OWXFEB3kwDxjXnbmFgMY+6MKheFDYfeZDDpVRSTAqygdtXv2AzC0pyUUxCUDAPrk7OBlAPrDRXs73aRPUS9kapByilvTcthjJRCCaUCHPjoUTZX13GcfAO/7Nr9eogA11lbZ+URHaCqgTMo6YYuFQQrGXsLuazh0GIX3U33jtryOrA1HMPSVxfx+aRu0+ZLPmtOldKPgSilMHYwYfWL19t0AAP+Z06HOSMeOce8CoLHCghpNJQUqjUtC1gA6pI4+sxYe1XQolTcR5zrLJLsl7jmkbTVErFsKtLK0Cdt1IJDJRXSS9qSWF2Lxwdl46gEl/21JQGBj2tLB05JwzqxIpp6xFvhrbv4Urf0BvUb2488JhXDGOGHreLUH9gRemjsYsLFg7rszo+ehbNA4AI6PV+nIfLYLOp3JPQe4fpR/ncGNWGcGa0H3jMyg5o2X8VDD3665UuV6H5y7qwB+6mKVQ8sb0S/A+k0OxA0jgAthy2BkC2b7mo9QX1wpYgmxZQNn9wmDGqXPWTNtm9sQdVXlkAWInf2vhZncHjNee2E+AMApKvqavdNWdHShL/hsPcLGxvPf3dG/uaMaoI5qFdlcMhdE+FsL4Pu94vdowr/eQksPevBbQY8A3jWQX9O3OQhMC81gKhmDV/F5eBWfx8n3j4uECiZUM4HXHJjQMXH5LC58p/ksIq2F/swybcuzXGA2VR6rA0CaMWYi1lwxz10p1LQ4GsL6mENWzFyoM9LRrmpAu6rB4r221LVIEYciRZzV++yBPcL329ULULhmAwrXbECfP9wN5aDByEl5ETkpLwIAfg2/F7+G3+vQ+nUGMRtf5v+ujxxq83Nnl4g1ykJLiCWw8RC18E6TAry9wrc6I100H9N8Fok0z7agK+fAbxmZ0fO4VUYKW+Z+R7D44GzOBd4tILsht7QeCNCtxlMPujV0kDn0v2uNbqMBt0fTxrR9lnwehW4HHiEBcBs1yqaypZroik0k2Pz64Aak1q0WaQrZvf+c+al9JqmGesDTW/SnorU/AAAiH7zd9nLsBBNspJkZhWD9UJm2HQAQmDqzU+/sDj7gwsPRqbUZ3TLpDkNl2nbe5o3hA+FRkmXTc3tSVsD11FmU17sAAIaHlCBs00p+XZjZDzDWhJrTgFvSrEtdiISwJ6GTsDzAsg+zpXc6Ar9FTfFvzYpxLb7HXotSV/n8d2d6y46ih4bwxkN31YCfuGA96aM9GNXfz6HlWUO3EcA7ArbotSbPh1fmQfqjt2+ny7UXhWs24Er6VYx+Uz9IXd2wJ2WFiBVFMTwRAKDavQuuAb7cp4z58trl39zaQv93ceVtIFMo0DL1DhGNXE7Ki2J3BtbVMhlyY2cj5tga+il0h2lvB5wV2DPnLf6naVueFfGfM0iFLJZ1VPgtwkRArF6A8UZVtPYHq4cPUX9fIwGJaaGFqdR/zywobb7BaPak8eLoNjAn/NrCgvJbFJx70H1g65y3d224kQ9HPS4+vx/0COBdg24jgNszmaUBSUzIA+zbgHUKJTRnTnYo6Yy0PtJ6AAZXGVN/l/7Ndfd3AICW6XeJhA0hzP2dXRP6RpsSSGzRgLP7zLWjqQ1DKHCz4D0G94kDAVCAniWNqPSbrrj0Qe/N/xTdK3yPYthIAIBMozb7HbbU3VZI29baOHNkYiVbx6UjNUu29tOxYQ/yd37r8jDuae1cbIcQpoRuU8GIwutdGQjWw43++4U6Ix3KiAj64eNn02HRFqT5LMIkn9MAALm2zeEC7bUS8LtaGFcHUtsrK4u77B09MI/uKoAfv1Dr0PIS+/s6tDxr6DYCOGA9ap6lcGc+2Rp/yhCoO7CTL441R0/B7+Zpos1SWO6VDZuhbmwFQBksFSG9kDWKWCYiNTl8EWEmSKEJ8O3qBVhS9ldeLndXWf8Y6o6egM/UJPH3ZGUAAORjDUwizrXl0FVcNWKssEe7K2TfYCnsNVeu2qUZNlUHITrkgqJ3rWH87F5F6ZwFo73vYItpsG1ZwEv6UjuGn9sCuHnYVCVdeRlUmRepPoMGQFNeLmK9Ye2XNWoxIjU53F89t9rPqpuOcBM2lYkSsE7rJxUYhaZv6XvYu0yVJTWZmxLGzR3KvIrPoy2XGH1KD5wx6YYC0HyRj5/G+1FanrCezJIjTWRlDoVrNsDvhVeN6udo2Mq0I6XQtBQcK2VW6gyNmqkAbVPvMfcsAKPnC9ds4ExMF/3GoV/NYaO5aMoCZ2pMtybPNzBBSeaAJVjL1GqNhYLFbMTn/4jCNRvMZh/uKF+/9P2qiAR4niZmKllQL7T5BovGfXfQ/Hb1gdCRdJE3sqYf6LGwdVcB/Fh2nUPLGz3Ax6HlWcN1FcA7s5AJqYGEQZnXY5ILeb0ZhHUSaruLnlwKj0APhI4hzbBws2P3Sg8BRgttfS29995P+XuZ9plR2h0b9iDXOgMGykUA2DHuXczWbUaTNx1gln4bxWnhVBEJcNmxzpAo6O05UA4cZFLLneR1XKzVjk/A4kNz8M49hfzexhLatJwfWmIXHZ8pCH25r5UPocYvBADQ4hHI69XVPozd1QWF0RN2Vb0YpWKzZzAgk8GriMYVo8oDDAIuOyC6/Omvv9tNsQedR2s65QRwGTzEIeVpAsKhqCqx+f5rIZheiwNDV3/H710Avt7oEcC7Bt1OAy7UdBhp2ASZL0WTXaeDOtMwMYUm6paqWsidnKC7m7TczR8tR/CtcwBQkp2YX1dzTbBQy4H6WqjiJ4i0PVp3bxT/m+odkjgAV45nAwACBkZBrnBG+V1/AwAENRZA9+N/0VqjAgC4LnoMzrspyFLZuzcKv9/BNThM4G7Lp8Ay52jrjCGMBzzk4yfhd/M03nYV856E9sXHAQC9RvYzMLfAWJg71/sODLn8vXHhOh3Q2oLmTOJ8du0daVYjxyBkvVAOGozmEPqGNmdX3n5Mc9rmQ6lenesqxAF1Op1Bc25mkWUCmiVNOkDMJyzQUrgxqDPSceV4tkntWbuXH2Q6HdpcPemaBVMnK5Np92VBvUQHQnNaagbhhngo7D6Madol+i7eDlmHoL58mc+JftWHINeQ9aZ+8yYRvSYr162BytAe2iPSjj/U8Dd8+A7NJyGvcuXcJxCWs5//vnI8m8rU87ereg/lgnDhl98j+Nln4Xo1j14ok6E0LglhOfvpt06Hwi9pTEUtvFPEw80OLeboNs++8iliPvsQADHnmNMib/ZehFvqLbtPMc1l0dZfuJULABqGTjU7tkxprt+uXgAAuJRZgaceUCJOdQIAcEyRJEriJFw33qlZiKV+axxyiNKVl0EWHGr7Ay3N9H9XN9GfhYfvyrlPwKu1yuhwI7RyCMdNyJh4nrPAlAacgVlypFahzPWHAQDDXnuE36uKSIBHZT7aTv4KAGi+WgWfqUmo27uf31NXSFzoUbfNALx9RXNfnZGOsqMUnNz4+jciHnBtWTHkoXpXkeZGs5Yyaxp4qdDaEhwNZ3Ujr4OtMCX8srExJ/t1ZI973ORYt8WVypKVTcjjDxjyTLD9oitgqc6O1qYzCL9deFBnEAZ2W1KcWDpACONerhcPuL1wNK1xdxXAf3WwAH7T700AZwu25+k9Ri4RokQIBw7Ca+IEAJTdMvax+9AYTlpkxc7v+DMfhK7EM/5fclYRJ4UcWV9f4gOxMm07XP70V36/lNJQOAnr9/+Mi9to8azLbMTQR4bAOyac38cH+ba/ofHIYbglTQcAtJ2gTYeloldFj0D1ay8BAHo/dBcqNm2D65+f5d8GgCcV8h4YC3l4FAD7zLS23G/JZUKENg00LMnQgHjRJeEia64M4eRn73RrKLe4cVVv3w3/mdPNXgcgCgQ1EhgFEGqhhHWs2rYTAbNvxpUNmwEA/vHRaK2mCew1cQJQbciqdXDQU/BzbcSg/I1G1WhNP2dVY8bq1zR7AXwvn7L8XQKwsQ3Qwq89sg9lR8iVqfdDd/H72MbO2jpyRiicXZzQayjxtiu8Pc32b0b0rfB6magXmcBlzqea1QMAfp7wV7Kq6IU3VeRgyH/4HBXpBQCAgFde59dYghHm2uIc29fid0upRM0lnandvQ/uoYFG41ooFDIBJ+XSPyALDhVZToSWKqG7hU6hNIonEL6/ITwe+xrGAACSDz9tNcFMRxLxqCISoF27CifePQYAGJK5EUF5RwBQ1l25pxfg42f0DGBI4gQA+2b/R5SJV8hqZM5iUBY3GQAQmvOzxfpK57zwECrFtWa7aPMJgsbNB4f1LoVNB7K4VQ0AGl38cLySBLLkw08D6JjF1B5trz2xI9bccOxd+wHzWXrtSYDWWagz0qEI6WVVkeMIWJp31tpf6+kLAJA31HZF1W5odFcB/EhWvUPLGzvQ2/pNDsR1F8AZzve5DQkF/+OLQSYGY0yxQTgWbrIAMW70vYOEjZDEAXC6aRIAYP/kv2Hq6gUo2voLvzckcYBIO8m0PYF/fwHtcoVhUlZXAv6UipRpn1rPnQEAqGffDwDwPLsXAPlZsnIufZ+PictnGbT36WtROuwWrhnMiL4V8SXk0qE5fdyI9QQA19LJAkNE2fssQZ2RDkwmppVWV1+4tNaj1cWbf6fQbz404zBCtUUAAL/LREfHBJOmA1l8wdqTsgLjj/0fNEqD5ki4aG3zW4TZNatFbaR1pXtzwqaiX16aoX5BUcD+rQCMAymlQaP8ewBj9hY9CuNmAABCNr2L8rlLAAA+LeW49bkWI40E45Jd5bdcpAFvTZ4Pr2wSVJqystF+60MASLMRddsM6FpJw7x/0DOY3PAjGgPId5kLlgDa8nPIUqF3BSodMc+gBdZjf68HAADxHrnYcXkgHmin8W4q06HQd7rmjZfR+BppV/vueQfOYREoXEdtKqS+nHxwJZo9g3m9WkLi4Ho1l7O21L7+guhgItQOaT19+SajzkiHfPw0ODUT57ustQm6qnJkJ/4RAODx0v3izKGCsVvrGgL/r9+EexzNw/LRt6FZRmOBZUWVCvbMx76m1YNnYk3zWYTkw0+jNpW0pC+s9cU79xSi3o2sJUE/fsj7cE/KCtF4BQBNdiYuzfo7tbdw3NTVQDVoosilq+FVeufVRm+MUp4SHYClWV+Fm/k3iodxx5mnRO1QFzUMAFDmHIVwDSWuEo4Ta5CuacpBg3EpNgV9z30LACgZlorwS/v4vUWKOMRf1s8vPRuRsH3bvSmJxJVeQ3CqvA8XMoVWH3MuRBUxYwEArmoVbxNTcSJC/+vW5PlwP0z1aRqXCgDwqCKf/+yQaQj7zxLUF9Oh1uPVt/HFSVKYMOsUUzq4h9Kaa8n6Ka2DOW2qsH6sXQCyGkozB1sqx5I211Hp0i0dUNjaPfkgUYme807CiMLvTN5r7ztNJZWzF47UaHcFzB1YTFlR6/bup/gtAUuYEI7qbynsDezvalj6zh4BvGtw3QTwUxerRJ39rcvDmHvkMeyesgqA8QlWmMwj/PExqDlbjxFPEhNGbUEFPHtRw7n++Vl4FZ9H8ykSMg+/tAfTfngScHEFALT0ioVGQSbaAuf+8HnlHoSOo4l6Kfk5UZ20rh448eflAIDRyx9B/eFf4T1pIgDS2Polkha0KO1nNNc0IWIlUfe5V+Sj+sfNqC+uBgD0eeIhNP1Cm43HkAQ0njkHha++o7VaKAcNxoln/wUAGLnsTrOaAraonOt9BwBgyOXvUbqONLRez7xIVgRvMqG0RvSHyjMEinYSKH0Kz2BXIJnU+69MQdT986DqM5yelbhMyMdPg/YQmSw/CnsHS/3WGBJcCA4HWjcvLqACtPk2BvSGe30ZAKA8OAEen70GACh56F1EqHPhVUqm4zSvB0VpzuU/roF74miT380WhpZgEvRc89MBD3IVYZuYcHww33QAKF23ESGT9OMk/SL8Rw9D/veUdj3q5tHQthCloyI6BnBygraSFuat/V9AhE8D+sjI3aJAF4NBP5EVw3nUOGhd3CBvJZN/QdgEuLz2R5x6jISRGS774VpNLizay7loHp3MrTTMt56h6UAWJvoSxaFS04jCpX/DhnuofuMeGYJpG/6MpvOkAVf6+aCp+AoAwDtpMlkNppPmcs+898SbeW0V4CvI6qXToS2PDillyX/CmYpIAIZ5xsz/PlOTcDrqTgwvNCTyYe5RTgOGoGH3Trj2IoFJ0W8A9qSswLjXyKy9e8oqpF79NwCg4eRpuE9PhqyQnm0YPk3EvmMqLTw70OYt2wxVizNGBVHbe7YYsp1Z26SOhN2LmyrIDabiu43wjAji40qoZc9LfR7Rm96AS/wgw8NOTvzg9umEbXinZiEA4EJGOZ5+0BkD8shyIt2o0nwWYfZZEh53DH+dH1DNwZxwmeazCNP3Pc7XQOE4VmekQ9fezhUBQi07oG/DOqLkYocO9r11OUUImq23LimUgEYNVfQIAAbLY3sBtbVTdJxYASC4d78q0Uj7z2IkFDVXLH4znBXYM/NNAAYrhFcBsX+o+gyHV8FplKyn+RM4JA7qWYbkWF4XfuXznbWFKXcvdpCTTaLA8V/GLuFzQqoZNaUhFmb/TfNZhJuVpGxxqbiMmt4j4bFtDT3TuzdUA8jtpUQZg5i0N3kZrF4XZTSuBm9/wYgZimvf4xMAmYzXLW3rVVEsjlfxeWTH3AIA6Ft5CE715rP+ZUTfiigNWZucNn7Bx/zrJfdjWLzCJo2/LUKgPa5VwrmkzkiHduo8AIDr1VyT8x8AdC7u2OJ6N68vi2uS7lEMykGDDUQJf7gXaNPwb1FomuF6NZfX5a5bgzBpP1m/hbFWptynhN9q6nvN7TfSg5vwN9ur2HuEsVcMQmWM9Dp7Z5LXcZPPAgDqa5E5dKHFA4NQcWirhaq7CuCHs1QOLW/cQC+HlmcN110DzlO9H12F1v99g6WyfwAAD+QDDNrcMiUJYBeqApFat9oQQBMXC10T+edprlyFctBgFHy2HgAQsfRxFL39EQJfewMAUPuPVznf9Jned2CY0A+6uhLqMhIemV9i2XrSmoRMvQmy0AhAzzRQeeAYPCNIUG5rbIZMLkPNA8/TO0/+ANWgiWj74gMAgN+UiWjNJn9x9ax7abIyc3dTI+Dti5JvSJAOv+82Xh1ztGxMGG7Pz4FTnxgqNyMduakvIPK/ywAAOq0Wbim3otGHXGbcfvovVCk0icploQjWlSEg/xh/j4jmbUA8aveRBcFp4ROid1ti3lBFJKDGNRQhdRcAAMqKQq7l8urXh9La632L0/z/IF5Y9dpKwBDoyRaukr5TEH5pn3iz17dBmvcCk4snW6SdR43jQuCWuOcw5L1ZCBrcBwDgPvomvmBrfQKw1elWvvBXzX0cni1VuOJC9/bN3cK/sy33ErQtLSKtfvVrL4lcRBiaT5wQJYFq8wmCjrnSAKgIGICwMyTYwdObu1gAtEk4bfwCLXcSg4X/2Z1Ql5bStRl3w+vSUVz6jMZNxNgB2D3tXxi/ntxX1KomXEmnsVx1qk600OoqrqJpWBIA4LKyP+Lzf0TTcRoLl7aewdBXFvN5mfjXMZA5UX33p3yO1Kv/RktvvfWmtgxVP2zEkftIY5t6eSUQSH2kPnsKyt69UbmfXCi8o8OgHDTYyKIEkGAX+/wkRH74DpWrt+Qwf3bn2nLevzqZE7yLzooEKM3FbLRMpUOpyjWQWyNyYucgavNbJmlGm0L7wb3sIv9tSmPGNrzDJ5owPtEdNx+isZGT8qKIMUkTEA6n80cBADXjbkNA/jEjAY/z9U+8GYoq6kOmaRPem+aziFN3xt3WxzCmWpqhikuEx1HadJmbmnDcN58gH/W2eQtFlr6QxAHQNDQBAH6e+TFu1m4RWWFUEQnQffN/AADPmCgDY41MDvX5s2JWlPgEHm+jHDQYWjfasDJ7zRBZMFnbMFfAiFkToNPPNXl4b7TnXULmf+mQHztzKCrSC+AdQQfG4qN5iBhD65rP4P4Gn24BLPm4smtTdr8KeUuj0XVzEDJeqSIS4NpI2ntFzRVo3by41Ujn6oaGXv0AAK6NlVDUXOHvZIHv3MLZWg9lhWEvE661zJrDMDioFAEthgBOYTleRelGmlnpuBFqU/erKO8EW2Mvf0EKAFNrlCNgi/AuXL+F41zYhywY3xKtqDkf8B+9HsI81RcdrqMlt52M6FsBAIPyNxqVI2xvWw4mtrj8dFQjnuazCLH+NaK4CEeguwrghzIbHFre+HhP6zc5ENddAO8IbAlQYQFUQtpAwFhotOZbxyj/4ra8buSXmv3OGgBA+HsroV27yoiG0B7Yk/Gsoz57ttCqOYLaShr4AjiWtaSjvqXZ76zBgKULRX+zpNHpDKd0R/tIuCnPkm21OeCroybhjmSsFNJg2uKbamu5XY2u5AjvQQ960IPfKnoE8K5BtxHAO8PZyp4H7BN4mMnyWiZLMfed3ASs12hbup8LtV//0Sgoy9q7getL5WSLQC71j5dqEQ8s+8lgxrbjWzrjZyfsY1uCsLqT4NkRWKo/S4pxUDYVE/Y/w+8xxUJwLSBkvugRsnvQFVBnpHc6YZs5lMYlAQC8Wipv2EQ8XY3usHf9ntFdBfCDmbZbuGzBhHjb8os4Ct1GALcHOqUrZOoW0d+kAkNVNPnABeQfE2kHW4Kj4VqeL3qWJ3jRBzwJYcl0J9Ra27PQXa9F0Z5F7OhTHwEAxrz/hM3ld/fF/nLczeids9MoMBAQM2LYio4I2fayGVhLmOQoOOLAYAtDTg86hp727EEPenC90F0F8F8yHCuATxp0bQVw52v6NgFUEQn4+NxITHiJAuQq/3saSV7HDb5UtV9Ap2fX0Jw6KgpkST78NJS9e1NAEQBNfh4PfmmFXpjSC1Ys6pv5i++asAhJEVTuflUiZp18Dt76eyu37EBTJUXVBg2JQdstCxA6Ru9v1qYhOsFXKdjK/6XXoNOScK7JJs5s5ieWV+1LwUB639mW6RLhPSIBrfp/uh34EdDqeDCgMDhkDR7GQnxuOCDk/Izq3iNxqIbqm3r13yhImAcACGgpwX5VIqfdYu3IEOmrQlEt+Wsm6V0qi5WxVB11LmT6wCudTA6XHesw/I9JAEir+c49hby8kUH53MeW+ZtFanL4d1W4BcG72eBfyrTYO8a9i+TDT/N+2q9KRIx/LfKqffm9qdWfAQDU2Zn4IHQl7htNjAp78mPxQPvnXFgWfuf/nRmJZwO/FLmSmGLMAYCJy9OhSp4PF72wKUyg1Jo8n/cJABxpHoWxbidQoiSLRLg6T+RXuV+ViKRkqsMOQX3MgfWp9D2VrhH45xo5/333WyvQdIDGuvvEgUYJnjx+JVYZmYsrGoYbOH0LH38aIUMi0FhOtIohiQOQv5PoD6MmJ6DtlgX83v2qRIz1pzHrveUzOHkZzG6sTTgThos7GoIMVhnXxkq0eJCPepEiDgOO/AuNo5LpokoQKJR8HK2AUZuNCaD4gKNV/TEkiPxdz1WEY9ruP3FGmv2qRMT616BERQHFl4qdMDSGWm3Yxiehvf1heGUepHd6+wLt7TgVTeOqpM6D94XLjnVoTZ7PYzF8U+YgPTQFAHC51ku03jC/U+EhlQWRAcD9dwTgpj16KtO5TyC3IQLDnM/w+rJ3suAoxkbjuv0rEpz1fv9fyRdibshR/twM118g3/sjAEPAGatT8uGn8XgNxXR80v8q1EFRkB8hznhtq1q0JqbWreZt38urGccvuSN1PTEkRcwYgyu/UFC61zMvosIlEkGtRUZ1Z98tjDFpmnALv7ZflYiUvOXQXCHqwYtzXkZ+DfXRrDPPQ9vUDO0Uul+j9IDLjnXQ1JOJeO/MTzEwkNyperVehimw4G2WIEyI0qXP0Lfc1A8Kb0/U55MfvdLTFd4jqK3TIv+C5MNP48wXRKWoutBkNQhz+1hqw5lH/4rWGXcDIKarLTHLkLaVvpPFI7V+TDEKR+77VtTfq/yW83pK+3BMwAVcaqHYJU27HKoWZyNfbS/XNvrd4izqix/LxsDXk9ZlaSCi9LArTPYGUCwEAJysoHcLGXGiFt2NjD6US6Lvltf4GHvnnkIj5YyQU1z4XUM/mI2ohXciP44CXt10jchtjkLirucA0Nj48Cva0z6dsA2QyZHmvYD3gbkAxyNh96Ky0QWTvWnt+rl+BJK8juPjcyP5PXNGGrif4/N/NFlWZvQ8UTZjISsWIE6OJ50DRYo4bD3pgwHRhnVZWH5G9K2ifUvYLtLvSfNZBH8PivcaX/o1Fh+cjb7xxO50KbOCWwxZnJM06zGzjghZtlQRCVj6bRQfl8J/s+DsWP8a3j6sHtK6sXZi6Aqmlx5YRrfRgOuqytEwdCqWfkvBRXe/lWTV1JcTSwl1erVeNko/LAzUaGtqhrM7MZ8oe/eG+rJhA9gx7l2+0LJobcDAL8203Iy+jCW0YPcAQMDzL8G98jK2utECrtPRgseSRQBAVCqxVciCeqEybTvnEz+w7CdMXD7LKLukEFLt5KEwCrRjNG5CmPMlF7oHLD44G6lzevFF+fGaZYaF4Ov/oV3TjoDnifHDoySLP8PaiEHa1ixwUriIqBXuAIC7l1YbUQUauYToAzTh5ARTYHV4bYEKIbkHAFiniMqMnscPCFeWPYe+T9yPxqMkAF2+55+oa6X6rf6uFu/cU8gF95Mz/one7qUIriRBVZjYhi2AqXNIM83YC4RtdCSMWBz8XBvw7to2UbtJ+4L9W1dVzoOIASA/biZ6X/kVj24fx8sVuvAI07cXKeIQf2kDtF7+AAC1dzAOJT7C7xVqUIWbN0sy4VFNC7i8qV6UXEeYobTmjZdxdsk2Pm6el7+GtwduEH23kE968cHZ+GTgGgCUBGe/KpHPNXa/sA1Y7MDGt1yNNhh2b17sLMTkiplkhN8mbE9TNJfCjVc49jR+IVDUXBHNH+F3WSo3zWcRAj3ogLD6u1qjsSCFI5L0mHKnEh4YhO8WzgFTz7xzTyHa15DFS8ixrs5IF60NgPjQ6lV8no/zkbv+ZlFDb2rMd9TqYi4ITxrAJ2wjS/1hC2x1r5KODelz1n6bgz1ujsIymetMZ9xmbGm7jrj32WKRtaV9WP3euaeQyw8MUiG1x4WlY+iuGvCfM5ocWt7kQe4OLc8auo0AbgukvNWMUcFlyDCje4UnOxZACZhevE2VwzZ1dj9L8CME26z9+4ZD6e+DnNnEgsIEQl05aXRkwaFGySykdWCJMpqqVJ3iV2V1AmwL6OwMWMZJabIdoYChLSM6PlNMBlLYuiG39Irl9FL2JLdgPv8MyoShnHKtZuceu7PEdcQv0ZorQcuZ03AdRvSQ6qwMlB3JsMhcYK7NbN2wmdUnKIE0ZYyxRZoYx9Q72HuEfPymsvKZe1aI7s4r3FVcwFJ0xtWk5QzR+rHxcy1g7sAvzEZrCuaE6M6+V4juwK3cgx78FtBdBfD955sdWl5Sgpv1mxyI6yaAV2Qc7VRA3MTls3gWQwBw8SdTqD2LuTSbYEe1BMzlQcpNy8pd/9x+fDqK6Li0VRVoHGPQVLFEOQyTD640MF8I0rMLy+WpjDU/oNGfTvwuO9ZxUyIAfDrqB6T1ekxkKhVSOwrNblJKJQBQbPkvAECT8gC8is9Dp3f3aQqO5Vpx1n5C15DsfC0eHXKSv1No8vMqPs8z5+1d9KW4vRsboC4g3/wDy34ySrYirFvNGy9Dp6Vha044NdWnHRFuuPZn/FZOA9bVG7uQZcQezde1yDyoUyg5BRujN2N90Ol2aSR3hcWn7xJpq4QxH+wb2YE1MHUm1FkZ3H2gK/vlRg+s7YExbF37mYUWkNADSsab3XOgvZ1b/LpiXTGV7KkroHX3hrzJsUlRhOgJwry+6BHAuwY3lAZcCKk5uX45JXwR8mhfMzQ2YM/d/8bE5fqslPp6ue4mH/FLs/4u4uU0l0gC6FzQXV3UMPgUngFgejEXLmJSXzP+KeEDodj5XccWapkc0GmNUt4Djl34ewLSug+udbpxc7BkJu8KKswe9KAHPfi9oLsK4PvSHSuATxl8bQVw4yiD6wxVRIJRAhqGwjUb+H8Hlv0E94Ob4X6QkpiETh6J0MmGQI09KSuwJ2UFKmLGouHQYbxdvQBvVy+AruIqv8Y0yerACKgDI3D5i+/4NXVGOlQRCdCWFEJbUsifV2ekc6FSW3wZ2uLLUBfkY/SZtchNfQG5qS/Aq/g8vIrPQ+7qCrmrKyI1OVj/3H6sf24/ZbTT6uCVcQBeGQegikgQmWPtEb6FwScAuPANQKT1MAVWR6mQ7lGS1SGfTHVGOjL73CIqGwA09Q08EMvWcsyB9UHZ3KV21Y31adW2nQCI2ebyF9+hcM0GTF8Vx32PhVgDWnAyo+eJ3JksIc1nkVGf2PKMsK7MP53VszhuqtH3sDZiY1QVkcDdnWx5jyoiAbqKq3wumCqXoTxmnFG/CL+z7x3R/LqpeWupT4XXWD06ik8nbDPrKzpty7NGwvePXg/x9+5JWcFdGoT9vfjgbC7Yp/ks4vcysLVIFZHA28TWscJgbq2TXmPrhKX1kbVnQ3i80biCTG7IZmsBLFjd3voKx46p/jb3N0vzvbPozJgSuvJJ4ahvsdT3wntUEQk8r4U9ZdtSvhCd6Qt739Wd0JVj0BLs3St6YAwtZA7971qj26SiB2AUvSvVnvKsmctnwdnfD82FxKLgMWaMUSYy6aSSu5ALhbZVzf8mm3gztrfPFKXpZQuvR7APAmbfzO8tXLMBZ5dsw9iv7wFAmf2ayihTWluLGoEpydjiSxMqpWAl1CWlgJw2vKupSxCZQ+nF0dyIPXf+CxP+SdHjijETIG+qR/1+ityvLSi32Re2JTgaH2VPAgA8OuQkzmuHoO8n5NISmDrT6H5he56IvAdDtj/PfzPBwevVB6DTauEbQ1nLXAN8RXR9RYo4Q7/V1QA+fjzDWY1fDILzDuNEJLVRf915I/OnMA1v6pxeBjcTvfbcEtRB+gCb/VuNLAhCv3Oh/6k6Ix3KuL4AgMJ1abj0fT63VADgrA21XhHw3/xvKPuQP/N/XJ7Eggt/EWcBlPxbnZWhL0TLv4+BfadTu1qUcdGamfnKhs0IuSNV3yaUpjq1nr5FFR4vyoRYuGYDQhIHADBOcT962TgcW34YAAnJIYkDeNBw2JLHeCbE+l8OwHvSRM7k0zL9LqO0z4pgyviqKS/H0WnLMcCd/O+D8o7Q9RFjAAANQTG8vzU334VCl37weIkyXkrHtDRYTdgu37k+jFmBBhc1YX9Wpm1HYOpMm3yA2738ILt0HvKQcNF7GKTfKUprLSl3+qo4bJtCWUevzv0LInN2d5iGsmLekwDAWQ+E9ajdvQ++04n1SOh3rs7KgHLgIJPlsTqw8cjuE15j3/VQw9+MgqEBQKtnnGo7+atovZ24fJZFv37hmqwcNNgg5Ou0ZrmzM6PnIf7MajScJ1c2z/HjRO0gzerosmMdMtfTWB722iOiOkgDDE3NU5NobAA8PHmq93B1HuQ6CgJnLnZCMJYKq+WaaCOzqK4E/AP5T6G7SGvyfBwb9iBfq7qrxU+4z+akvMhJClh2TqBzwcbdAT0W1+6rAd+T3mL9JjswbbCrQ8uzhm7tgiKcwJY4hoVsEGwR54wKQ9fg1rMLTW46DEcjSJiLR7qRcHQlltKjh+QeMBuIVbhmA6IW3Y3pHxFdG3uXLUJCd53cHTHbW3N7sQZbF2xrAV7Wyu0sI0JXQjge7PUJ7WyiIcC4v+sjh8K76KzZ56avirM4t3rgGNjSzsIMtD3oQQ964Ch0VwF897lW6zfZgelDXBxanjV0awHcVmj8QqC4TNo9ePs6rFxboasqx94Fa0SczcKgzP2qRK5lZ7SDUg0uTwjTWg9lRSEsQq9lUp8/KxLWPGqLIW+oBWA6I6A0AY0pYe1K7ETSBEsPBWyYyIzNNMIgTCENodQH3BLzgS0HkcotOwAAZz8+e838eYUUV6y9uuuh6VqhqwKizGmnhWPV3LjtCdLqQZeioR7w9L7etfjdomd+X190VwF811nHCuAzhl5bAfy6JuI53TYcmlEkyIw+s1ZkchMGWHpUF6LRP0rEGDJt41PYc+v7AMj8yRxLlHGuaAuOxM8TKXHDtC3Pirhrjw17EIMWkNnePz6am/oYhJRqTmOTUPLhx/x3a/J8KH/6BgAgn3QzdAcpKQYXqvVlHBv2ICYd+YCX6w7ggP7axKOrcGDM4xit/z4mlB4T+CuGZpC59UxxAO7VGBLQuDWU45L/WESoyQXA82oJv+Z5ahcaRszAsaS/69+5Aq/8+yxeHERa3vZffxElKwKAipixAABXtYon4gk59xNUyfNxQF/3CUf/BbWLF080MMP1F7heIQ3bntS3EZpxmJsd3Zc9CJXgECI0QQM/YerqBWgYMR0AsFM1CpM9DQkW5qTUca5ilx3r8EHoSiwYdYm+W12PYmUsIh6lb50Yvc6i0F8YNwMhm4hXvTV5PjfrSt00hAch1m9C95TW5PmcxSVH8SJyffRJW5KP45RuCEbs/Bu/z+P4dmwdQEmakryOi95ZtOUCbo/Q+3bLZPi1eQR/x02uJ1HjSolH/FrKRHVg48oUWL2lLDrmMOLJkfAdTm0kC+oFjT+9s2XTBnjMSMa+6S/zNmmavQBtcgUAIDD/KOBM/94z800A4HOJ9e/ULx4AAGgqKgVJj2YhL/V5lMRPMPl79Jm1uCgjV4mf090w9P54Xq7LjnVQCfrlhHoEomLJ/ahgYBLGnF4DzzxK1JEW/CdREo13ahbiiVJxjACr09SdL+F0CLkc9NVmQq1wR0EbzfcRVzfhkb1T8f5dNLf2NI7jz6dtvSriiC++5VkEtRahRUmJrVzVKt4Po8+sFbH/yMdNhfbwXl5WTsqLPCC7b/YuhFal83Wkdea9ODb0AX7vxOWz8MPw9wEAwTf3x6CsNGQMJPekyQfexkX/8XzOLP02Cne/lQQAKNpyAVU17Rj2QDykGH1mrUg5wBJOidZW/eFWFZGAY8MexNSdlBNAc/q4aD6Vzv0rwjatpLonz+frNABAJkOrszu8t3zGy2XvdNmxzmgusu8FxOO+NXk+3A9uRvlRWid7TRgO1YU8yOSkCFB4euDwK9S+YZmHEPDOYsidiVXEOyYcOSk0J+vV7qhocOFKidb0c3AZPIS7yw1T7eUJpjzO7UfWqMWIbKOxwJQPzP2rdPJC7LpE4+aOyKOo/ceruPgd3XtqbQYC/ZyhoCmDuSFHcU5LiYL8XBoRqclBzRs01yLnTMKWuOdEbSAcy/8rGYO7g+jb5Ps2G3Gef/Am7Sqb/qlArXsITpX3MZTBFCU6Hbwu/MoZpgBAOXgYSmLJdTHoxw95DoqbDywxovTVVVzFZ360zv3R+QtIkRdL/RSoLsW5tsEYvZuYuC7MeQUFNXRgSa1bDTQ3QtWXXNVYshj3iQMBiK1ujMtdmtiG7RNj4ocj0E3Fr8Xn/4h3axdS/QafxNJ1kQCAP9zjjQPprlg8+AQAAwuYWwMxjP084a+icQ4Y4qYUwxORETabJ5kSgu01LIldTpU//D3UqG5Uiu5h+DX8XgS51gIAglsLsaduNAI9SVpZu6GaM5O5Ntdge5vB5ZUlvGMxQBE5hjUEMPD3C78NAG59rgVLnp/Yk4jnBsF1pyFkbhp+L7wKhaaZZ4XLSXnRkDyi4DRUfYbzTYJNHCa8CoUoz7N7IXNx5doKqS+4cBGrjB4DF02jyE+Z+XU7LXzCiKLQlI8eu6aruIrGYeS76VmSifrIoXDd/hUAGCWzyIyehzgVLQw7NDOIL7tEnwglMBhwEfshSU//wgXDOXE8PdfcgNyYmSgYmAQASFp1B5z6xODyF8TEErb0Sb7BAMDH50ZixIMkAMVl70bvnJ2i92k+e5++JbKXKDun0P2jbu9++ExNErVxa/J8vsg515bza/V5JUZ+6Rs9H8KtDbSot/kGw7mMNglNWCwUNVdE9RH6ngvfl5v6Ap54OgMb33LlbfR29QL8aTBtZM5trdjVQptNat1qoE2DzL7kEhS35XU+dmreeBlR81OhrakCAGzt/wKSvI7D8ywtfFtilhm7xrSS/1nmgHsQX7QVaNPwS5xKsGAz1ikWYb76c/4tQi3OLyEPYNKV//JrDe+8Cf/HyUfY6dge/DTsTUz8QX+QEyRJUUUkwKW1HooMEuxlQSFoPHYMbhEkWOd8/zPc/CipwMXvcrH97eN4U0uClCKkF6qOEGe0d3QYWpPni7IvKgcNRlYMZcrzeOl+RN1Kh6bCjbsRddsMqPRCNADovvk/uAb4UnMkz+eJl/wOfo+22jpeX62nLy4ET+aHx2JlLHzltQCAExUxmPjDg3Ba+AQAijOI1OTwdqrukwj/AurPPSkr4H7qDMaWfsPrsCdlBQZcIIEu/NI+Pj4UIb3QMHQqF3gAgztYVfRoKDVNRt8tdBtjm1ba1qt48E5/3HT4FQDApWlLEaHO5d8KAAH5xwCAJzFq8yW/eUYpqqui/2eNWswPrLmpL6B/+c/QptNa8NOwNzHB9xwO1g4BIE7KJc1LoBw0GKVxSfBqofVKaG3KS30eA/I28zo0/u87uPUKAACkz3wD4cpSUSKrSE0OPCvyAJAfP3tne2E+nKKi+ViO2/I6FMNGIiuCrEINGleMLv4WgGE8OjcTFd1R79mIc81H80tk+WMKDMAggDMhu6msEvXFlaJ4BqEA7tJSC/z8E/9uIYrjpiJ4E2U6lY+fhtL3/8XLUcbEAG7k227KIsjqzdqPQZ2RjpyUF+HjTDS34Zf2oTxmHILzSDEi9N1miazcfqb4AOdYijcRZkVmYMKbNKOlECkt60X9wJKuJWoOGFlG2ZiSBQQbfRNLSPPvlBOiJGIavxCUvfeRzXFGZt3a9D70tkKdkQ75eMqzwGl262vp/wKrNcscyZLM2eNWZ8lNFRD78ZscD/r6FP5vl6h9pEKqqTp1xN9duJc6ioKyMy6BlnIddFcN+M6zaus32YGbhyqt3+RA3JAuKNNXxSFmWD+8kEOD3u+FV60mY2EQBgLe+lwLtk3ZaJYSEADO9yFaw4SC/xn55zJh3Jw7gnQT7hJYyR4phC0+otKFQDop23yCeACfLZAGI10P/2t7guWEQaLm6uhIFxR7F0xzhzFbFm/hveZSc0u/y5zgAhiPDaEwYSp1tqksmLZA2EbXy/3neiR1EQVhduK7pXW39C03unvVjV7/HnQtuiJ52rXA9U4q1V0F8O1nHCuAzxz2OxHAKzLINKeYT24QBf86jVvPPQMnfcp4DBgKWSulGZVp1FBFJMD9cBoAoF0lprVrTZ4P10bSBOkO7hKZcicunyXSqAj/rQwNhWpIEryySbOhvnwZV08SY0Xk7cnQ+QWi7EsSsr2eeRHudSUo/ReZVBtf+RIB7z0KAPCJi4ROq4N6FqVl9rx6kScrkcLrygXsmfmmyF9cCqaVq6yVY5HscxwMJSaJoU5nuHaQgZnCYtPewGex7+GxJtLYq4Yk4XjrCCS6kKl+6bdR+MM9ZBUYiPPIQgI8FOSMklfti8nedN9f14Xjw9svoEgf1BrwzgfwLzjO2QLc5C1cW9545Agu37vcUB+ZDGfbhmLthmoAEJntmelaOYDM4itqHsLAWDmy88n15dEhJ0ULzNvVC3DvGNL4fJgWhOUDvjNp8TjaOhLTK74UJa9pCuvPXQiE7iBSyF2UUE2jPmtQ+MF39SvwGkxm0Y/dnsF9sce4+XiI/Czvl5nOO1Hil4CAlhLeX8mHn8bX8e8DILN0s5LaukgTiZFF6/k7q/sk4qo8DFXN5L7g79qAmlbS0jW2KpC47gE4P7QEgMAkqmcZuRoxEsEH6W9yD0/SHNWRqXHPff/BuFemoqmc2l65+GnU/oP6sNdIGovKeNp8NP6hUPmQqdbpi7chf/BxXj+v4vNQB0WJtW36BDkH4x5Fbw+DZcK35QpcdqxDfX4p1ffRpfDKp3EErRYtkQPhmnNaX7APSvtOQV4jZUS9VOqCObHENnG0qj9mnXkeF6f+FQBQ3uQFd4UGeRUe/F2RAS28H4TwKj4PXVU59g+kZ6eUr4U6kN7R6uoLr3P7cXXfEWqH21JwuW8ytXtLKVoVHriKMABAlOYSJRaKIzNw75yd2OxNB4pb6ldjg9vDmBlA1oZmpTe+PNGXJ5wqVPSFup28+fae9cBSvzWicgDDxv/xuZF4aCR99+HqQZgl2yo6oJfGJSHs2PcAAJ1Oi0eyFgIAPpmyG0W9J8OvpYx/d1bMXG5R8Co+j7K4yQCA9Jpo1DY64a5m/Vr1669oriLN9JH7SGPNXB3q3YLg3VwBr1zSwus8vaE5Q9/l7O+Hs2P+gmGn/wUAyBn9EEJaC3hdq13D4NVG48//7E7Axw8tvWg90ijd4VWUzmkN1bPuRYaONPtKpzaMuLweredpPjtNmAatwgUNnmS9uaztg4EtJ/h7XC+dgrqYMuoyq0bLv2ida1e3IeNLiv+Jzd4Dv0//xrX9wnVC5RqIOq0PBuZtovpkZeDK0UzsuJ8064sCt0DjSnPWLecU4OmNhnBaq3T6mBs2H4/PeAsHz5LC47Hhp1D92kvwf4nyUCz9Ngpjx4fi638Rq9WXH0SioJHGmLrNCReLnfGIUu/KUVuFxecfwNMP0ti5VBXA+6VIEYezJQFI6UWWlXrXQK69BSRMMZGDUe8ayF1Q/D3U6ONBc9JDXQf3bYaA9bKjWQgdMxCVc8naFLjpI2wfSy4os449A8UAsduSOiOdu6gID+LaKyWQh4RzS1mEOhfntUMwche5q1y+5W/Irgziz2n8QrBdO4v/TvNZhORfac4K2X0yo+fhTHEAvNxpX4j1r0F8/o8iGsY5Iw0J+OLzf+QHf+Gh/3LczThXES6qc0N4POrcieY3u/8sg+tLeztUvYfy+4oUcTheEAB/b2NWLlb3uABaZ5kLCtPYSxUWq3UPo28Y7bMTyr7C4oOz0Tee2uVSZgV3HXFprccOtSETM/sWe11QmHLF0S4oPQJ41+C6CeCNnzwPpz4xHWLb2JOyAtO+f4KbF9vzc9A0wcBBbSscdbLVZGeiZfpdXEBjPmyTNtKi8YxyhSgLJQBuIvx05AbAzcNkAFpzSBzcrhiEbZ4FMJoEMu8tnxm093o3HbZJ7Bj3rsif0Kv4PNc+A0DqnF6Yo6HsnMIMZsKgQ4A2HeWgwWj3pk1tVcktiNFnlZ++589wGzVKVHep755QK5p8+GnRYr47aAGmV9DmcCLyHowq+tZU83Kcep788UtWHb1m1FamFq6u1kZ0lL7LUUlxzH2fNPmVFJ1tE7YWNB3I4i4hAMUqBOWREF0UNx2RObs7ZAlQRSTw8XmjU6P1wDGwVSNqyopg6rnzfW5DQsH/HFzLjoONeSHVrqPLByhO67eUCdOS5e/3iO4qgP90WmP9Jjswa7jCoeVZw3ULwmyacAtOtw1Hr3GkpWGntn673wYA6BInwVlF/rg6Zxe0u3tD9wuln+57RzTg6sYTv+R6+yEJJGwyIYH5fTJ/QAbhAtSaPB/K4vNci5g5bBE8Xyafu7CJwyAbfhPaj+znzwndTnJSXuT3hiQOgFfxeSTpBVOv4vOY6V+FFr1m8R0UGrSnTtuhqC7DKj8qR1vtA3mYOzxP7wFAAXJMAAtyasVNyEFJX/ItH30mAZUKDx44NiomBmWupF3xrNuLH4rH4F5QuXNav8Nh91sx1OkMACC9z+1YEk0n+ijNJVyQeaPYhQT5Rq0716St8lsO7ZRbUP4GCUMur38A99ZaFCnIfWVGQI3BLO7mguK4qfBvJO2Ua00JRkQGobyV/CPfzl+ARyP06e5zT0ANIFlBAWfv1CzE4ogTXLNxe2w5dC7kU6s5dRQfhK7kGvC9eTF4oP1zuK3TB25ViTWKz/h/iYI40mz2ydmBgrhkBDYXASDtFfPVZ1zFQk16iZKoI/s0ZkC+90c8XkNBRLfdEowgj2akrSO3ibD5d6O0nuqX3LoHpXFJqG33pf7XlcAj7XN8k0C+qHdEHuXt1b/qAH71nMk1JDW9R6JE1hsVTeQ/GeJZh8M51F79w1sx7PvHMHsWHXY4mhsBAMWDU3G6ojcAIPXqv6GKS+QbUuGaDRSMbCaphK693RBg5ayA2o+0jdi/FVeOZ3MaTwBwrysRaUYGHPwQAM2B9rYWVHjS+CtvDcCQnS+irYHqd+aOFRikOgQAUFy9DE1wFPfl1wSE44LXGLTpSJt4ttAHI3rXAgCyrvjirpbP0TebxkZo1U8on/ckMmvokHr5khMGRlI/jc/5moShS6SNfrv5MTzjtwaX5KS5K/FJxHQ38m+ueOufiEgeC3koTUyvgtPoE9cfAJCGRRjrn4nLbX0AgFsphOOIacC3bLuKvvFBeMZvDX137HhcaIrB2BbSbjd7BvP+zqnywy31q1EfSRo174JT5B6m16J+5bQItwVR/dqdlHBqV8N59w+8fVuCo6FRkmLB8/QePHKB6vDpyA1Q9bsJ6k/eAQAEJE/DyT73op+OuL+FB+y+8UHw83HCA5lPAQC3zAFkMXOVtyKwheYs04AzeBWf50GHqkhaK5l2vD5uDLwzfga8KDgtM+ZWg9aspRlwcUVzKPlA13hGoLbdF3HbKHBXMSyRWzRZoJ3Qhc8S/aY6I51z2EemTkZzXgEqMy5DCuXrH3Lfdgah4JYVM5drwNtyL6H0wBmsv0WvJHE/joZYCvRzP7YdW+NfxsggiknxaqlEkSIOcRlU3+pbHsNPOWRVSon1gvemT+AS3QcA8OFXLRg7/mGuAV/59jDUthiy66lanEUc50KFBQDO+Z8Xk4zDl8MwIpL2wF4o5XEGrA1ZOU1h/VHjEQafJlqrilz6QqejIMzItlzMlP8EpmXLjJ6HuC2vIzf1BQBkOd1203sAgAnf3GUUp2NOA85Q5Uoc+/sVifAPUyNxFwWVXkp5ifu/s+eYX/yg/I14u3oBHvqV9s+A2TfzfjqvHYLKRgMTxejAS+iVe5AHYQIjzWrAhwYVIyqH1pDdQQvQrJYbKU7q3Uj7HH7+Jx5rpXX1QGNgNDyqab9pO34I2aFaxIw09uMf+sFslL/4AzwUlIHRWhCmJQ24XCbjQaLObS3Y3TyRP9cdNOA3wiHk+qiPHYfr7gPeEQ24NF174ZoNRkElwsAhYRChvT63lWkk9JtamJg7ReF//2fSD93cqX3xwdkiH1jm0w441jdaypdti/81u+cvD9JJkG1Y9qAjft5Cf1dp+0jR2YWhO/OAC7+NtYPQimDuu1ngWKCM3BmC8w7bxEPPtObM3O5ZkumQ7+gIpH7o18P60IMeWEN38AnuQQ+uJbqrBnzbKcdqwGePuLYa8OsugNsDIbuBNPLb3L3STGn2wpIQww4P/e6KRa+R/br9onw9uFQ7ki2wB3rYkB20B9bRkUN+D2589AjKPeiBY9BdBfAtp9ocWl7KiGvrFCK/pm/rJJSDBpOZNt9KohrBvaPPrOUbMMOelBX8b0L/ZVMIHNQbgYN6I81nkagcdUY6pn65EFO/XIjIB2/nZlRTLgDCAJLrCa/i89dce8j6wRFQRSRY7S9LEPa5LeVIKcKuBUTv1AvfaT6LHFKXrJi5PGiKQTo3rIEx6Zj73Z3A+njalmdveOGbrSsdnQPqoCiog8il51qOa3Nr4rWAI4Xv7jzOe2A7OjJ/OrPn9KBrodM59r9rjRtKAy6E0DcNgElS/2sFlrCCMZvsVyViTvtGtJ8gdpWW6XeJ7vfKOQ5VHPn+CXl+AaBi3pOiaHdz7xM+K/07ALg2VUFRXWb2OaEPmbCc0rgkhKVv5QGult4pDfpTRQ6GV1G66N4u0brrdCYzcnYFurO7iiNhaz9JtYqOCvwU1kHI+c7+bq1elvqpRwPeg2uFHhepHvwW0V014GknHasBTx35O9KAd+Zkmb/zFP+3kO2js+V2BIWPP42Jy2dxDXOS13HIG+vRMv0utEy/S0SDd2zYg1z4BigjmyoiAa3J89GaPF8UEGVNc8RO86qIBBSt/UH0nhb3AFE7LD44G55XL8Lz6kWgvR13v5UE97oSuNeViO7zaq1C47nzuPzFd7j8xXeiKHeP6kJRnZhAwy0KOh0WH5wNua4dcl07D1p12bGOa92YRkyqiRD+zaxWtq4GqKvBle/TRFYMU7B23VY89YASTz2gFH23Jrtr/aSvtdZw8cHZNltHFEGBaDlzGi1nTjukfYXYr0rEflUi4ra8brZsnYKCnQo+W4+Czyhwck8KsQxJmYYYfgsa8O6C35o20NZ1wtbvNkd5ag6OmOfW6uboeWoScut5KHrQA0dDp5M59L9rjW6jAbfLX0+jBhSm+RpZQCZblI4NexB974i2OfNXzU5iI/G7mTg5tWXEFrB1wItwnzhQlIWzpaoWAOAa4HtD+RraEsR4PX23rQVh2gtL32Lp2vWIApdqlK2xEDAUrtmAkGeWAvu3AoAoZTgAfBC6kvNWAwZNtyM12I5GR+kYGX5L2khTgeY9MMa1aKce3/Ie/N7QXTXgPx5vd2h58xKv7UGy2wjgtkB4kp+25VlRFkipIMXuTfzrGBxfeZQLGaYWaFMZIplgYsl8LUwJL2RaafMNhnNtuYjXWChEZEbP4xSGrC62MFYwMJ9yIcOJFKY2CaFAYy7tLGtHTQNRhnmMGWO1PlII2/N6BH4KIWwHzvhxiFyDPMeP65R7Qkc4hK1t3rn//hqxj9HYaDp+DO6Jo0XXzQml9b8cgPckA43V5S++Q++HDK5PhWs2GFJ0S95fuGYDXH2IYjH41jm8ngwHlhH9o6k2En6PkCdc6lrVI7Bce3R27plLue2IQ2mPENuDHtw46BHAuwY3lADOYIvWjglWfe8gzmIm2DafOAG3UaNE91raqITlSIVjofBWmbbdiKrQHDR+IZwf2VRZ3QHdrT5CdFQIYOOmzZcYdLSH9nQ7IaDxyBF4jKXssG0+QXCuq7DyBIEJ2B39HnsOgN2h3B4Y43ofdnvQgx78NtFdBfCNxxwrgN86+ncmgNuiYQbIP5QJXUx7Yip7JEA84YeHUuavkdv+ipOzV/IEAVIBRVdVji0xlHxFJNTpA/3eqVkIAFjqt4ZYBPQmfuWgwTxBDguafO7i3QCAt/oZUo8DgNbNC/JmFf+9J2UFD9h0ba6BoqrEVBPZhM5oGNmzV45n2ywgmdOcmyvf6aZJAAAnVY3Fe1URCTyZianyhdq46avisG3KRgC2fbclVwYmjAvTgQOUkKVPzg6rZV9rtBfkAQCc/P0Bb18joat2N41F3+lTbC5T6+6NrYrbARi3EbPmMAjnXJEiDk8uPc8tR7bwlVtCR11OGg4dhuf4cXa/zxKkGlqT7iyNDfR/D0+zwq+uqlxEmSotR2qRK+k7BXVtlOgmUFaO4Dyy1lT3SYR/wXGL6+W+YEo4NaWc1hY46zltqysAb1+bvrV29z7D2GmoBzy9xd9TcRVFW38BAPi98CpPJJOS8xaKtv7CrSwsUZl3BCWZsmc8/p5xox+ibvT698A0uqsA/r9jjqXpvW20bWGR//znP/G///0P2dnZcHNzw7hx47B8+XL079/frvdddwHcVgg3roMPv48Jnz8lui7l/Waat5DEAbiUdhyDnnsIgP0+giVfU1rh8PtuM7pWt3c/3fPw+ygbNI5viiz4UJhQRChUNJ86CbcRI43KcyQcbeK1tLBaEpy604Jc8Nl69PnD3dyvXx4a0Wk/Y1tgjy+y0HWkLfcSnGP7mr3XkiVI2v9CF5SclBcRqSGhmdVLGvtgK66FK8FvyZe7o7hRXTYszf+uXhvsHTe/B3ep7hzz0YPuix4BXIyZM2finnvuQWJiItra2vD8888jPT0dmZmZ8PDwsF6AHjeMAC6FMC187cVCpH9OKZmvx+KyJ2UFJi6fBUyeBQBodfXlfuGm4FVwGppg4uSVUgVKteWm0HruDAAYUouD2sPz1C7IgkP5byE1olfxeVEKdmH9hJtUQVwyAloMGnl2jW2WS7+N4gGS0oOF1DIhfKe1Tc0WAeN6uDMwertVfsuv2cbcnQ4tRmhsADw8u6RodRbNYWhpUWXt3RAebzFD542QMrkHvw9o3b0hb6q/3tXoQQ8ciu4qgH9/1LEC+B1jOkYMWFFRgeDgYPz888+YNGmSzc/dMAK4MCjMycMDTn1iRNeEgWDKQYOh8QsBAPwy/mlM2/qcxYyCjeHEIe5RkmUk5LHf62/ZQkGP9bX0kLevSLi0JkAK3VNM3dtR7UtHearN1ZdpSOypD7t3x7h3u1QQYsGntTWteDP2W5ueUWekwznAHwDQVlXN+wqgbzMX0Dp9VZwoKPdaQeMfyg9lWk9fPLp9nE19K9RwA0DZ0SyuST/7yqcY+spik8/Zo1ntiBbWVgvDjczyca200x21BIjcSuB4liFbYI/rmikI56xwrOgqrkIW1MsRVexySMd4Zy07lg7q3U2bL9S8m9LCC+t7PcanED1WAmN0VwF8w6+OFcBvGa5Ba2ur6G8uLi5wcXGx+FxOTg769u2L9PR0JCTYTtV63QVwoU/j29ULuCCkdfOCvII0sTq/QMg0av5sW34Ofn7ifxi9jPw+Xfx94DyGGCDkDbUo+fp/cA8iP8qKrFL0mT4MH4SuBAA847eGJ3FJ81mEJK/jfAHTZGdCMSCe3pFzARUzFyP02A8AgIODnoKTTIuxpd/wejAe4sCBkfC8aQyK+icDACJzdiPNZxGSD5MfulATzlxTKmIo0M77x/+DMjyM+4kKNfu2LJ6qSP09Oh28sg9zn02WFIchM3oe3J2aAQB9cnagImYsgvKOAADavQPgVF8lupdtljqlK2TqFn5N2EdSXI2dgF65B8V/ZP1mgjZSuNC2+QZDe4jcIHJSXjTarK/EToRfPfE8y9vVqPAnXyuvlkqTG1B6H/Jp7r/1Fd6OTcePofHuJQg6kQYAKNy8D9o3PgMA0vrLZLzNVjUuwoL+x02WzTZSracvAKDRNwJFijicKQ4AANyr+RwrKkmw/9PwU9Q3+nLavfzgpKox6S+tzkjHxU1Hkb/8EAAgPvAqWrVKUVtUbdsJAHAN8IHHmDG8nOTDT9PBU89RrhgQL9rUVlQuwLOBxv2mzkiHMjwM2mYaG/LQCABif+5Yf/LfZ/VgsQ8AEPTjh7x9VREJ+LaAWFv+6PwF3dCmoWt9hhu9W9q2bbmXAMCi203Vtp04PH8d5/73Kj6P9sJ8XJj8F1EdzUFoBTJVByGzkZT+sXr7bgCA/8zpAMD7v8UrGO1OSpPlWfIlby/MR9O4VD7fd4x7F0GerWgcPgwAMPbU53AvvcDfJW+oFSkApCiPofWQ+Y0zbub6vXvh3jscAPDTsDeNDkNCqsvZZ1/kyo38T79F9OJ7jL5FczEbAHBl9uOQyygIKnT/l4BOB1k09V1WxGwMPPYJZPrxtHj/jA4LVZaE97K4yQjN+dnoewBAOSAecKI2MGetMwdLVhVdeRm3NDK0+QQBAA+a1gRQe9sb36OruAoA/FBxNXYCABivqx2Eo9y5HFGOpcN5Vx0gWDZYZYVxzgBzB5qiuOmIzNnt0HpcK9hzmLA0z34vAnjG9tfw6quviv728ssv45VXXjH7jE6nw9y5c1FTU4MDBw7Y9b7rLoBbgrlJyDYMUwLusWEPYuLyWbhynDaJS9/nY8on92DfI6Qxnbh8FqdVW//cfqzyWy56ngUVuU8ciInLZ2HneNqYsvK0WFL2V9Gz795dAAAWzeO/JzhKE9hVGhDppnq9tNyWIK2jre4Viw/OxlMPKC0KoB1xbbmR/a9vxLp31djv1m5NXYQeTWYPpPi9rYGOQncVwL874lgBfO4I+zXgf/7zn7F161YcPHgQERERdr3vumbCtIbHa5bh8ZplRn9vTZ6PGP9a0d/cGsrh1lBOvtgAom6ZgqhbpiBgBGnCRzw5EiOeHAlnH29MW/8Ypq1/DE/c74Yd496FZ0UePCuIXWJO9uuYk/06L/digQ4XC3Q4sisLtamPIHRSEEInkbbDs+wCPMsuICd2DorW/mBUz8UHZ2PxwdlGmcq07t5GmSAZujLTnLl3ilBbZfEy4/g2BVN9ZdM7JbAmgPwafq/NZWVGz0Nbfg7a8nMwIriAZ5lUZ6Rj41uudtXLEixltLP0/ZnR88xea/MJQmrdalEbmmvPD1xfEwnfLKhSWDdL2S5/CXkAv4Q8YPQtXsXnLfahruIq2r0D0O5N2n+WWZDdfzLybpyMvBtpPovwdvUCPiekYK5e1mDqPnNtfyNumsKxfy2zTrYX5qO9ML/DmRk78lyazyKRpcXcPdJ2kL5LmM1SFZHA5/eUvW+YLZexH5mCrWPxWsDcfOko9qSssPn7ujqDZkf2BlNl2ANLa6C5DMQ34jrye4FWJ3Pofy4uLvD29hb9Z0n4fuKJJ7B582bs27fPbuEbuI4a8IqMo/AqPt8hvmn2DF9gL53nGu7rGYTJNOkswFFoWjalrQeAmjdeFmXuBMSBj6YmPzNv6n7ZbpQEpVgZCwCIUOdi6bdRPD23rUGYphY0r+Lz3PS9+Ny9ZoMwWX2FWgZp/5rz9bNFy8CZbcbEQzlwkMV7HQ2Rdl9PUdlVuBx3MwCgd85Ou567Fho/c9SfjoBwrAjbWxiYbCrQl7mSdUWdetADALT+Cdx+zGlSu6O21F63RnvLZujK7/49WnC6E7qrBvzbw44VX+8ZZ9u+rtPp8MQTT2Djxo3Yv38/+vY17zZpCd3aBcUs6moAHz+Tl0wtgNbMuhYzS0p8mIVBmuYEBmu4USnFrje6MjlQdzBXX8/kRzr9+BbGWnQEndkobfH77Jk71xa/5/buzsnIetCDa4nuKoCvO+RY8XX+eNsE8MceewzffPMNNm3aJOL+9vHxgZubm83vu64a8NNtw6EZpQ+QO5CF5MNPcx9r5krC0Jo8Hx6/UhKcfY+uF10XapsZWDlSCH3A2b+FZUnfb+5304EsuE8cKCqn6UAWAHBtnLROwneY+j4G5ocOUIBKcdxUAIBPS7noepLXcZHPOvNpZ+XtVyXyupxtH4aaJoXoOXat2jWMa1uZAHVsGCX1YDSGwney7zqw7CeEZhxGmJa07O7bvkT53CWiego1/8L22DHuXbSo5ahvpN93RR3l1+Xjp+G9vFl4dMhJXg6rK2tX1l6MFlEo+Am1Muw7zEE6jhhOaoZjpOI0/+5Y/xrkVvvxNhBaFCrmPYns/rOM+p/hbPswDHU6w39fdemNrMpgfq+wbYXUkdI+YN9uCubGu/AbTdFispgJ9vzULxeiYehUUR+z550Tx6PRP4o/y/rFkqVHWF9zYxygIFJL16X3CTV6wiBCIYR1k76f/V1YT1OadQDIztdiQLQcqSUfAABUA8bhp8oxuM2VgnmbPQ3uDNLxKC1X+F3RfnXot9UQ8FM6969IrwgTrStfx78PALgv8ymj+u8Y965I88/qy8ZUSh6tBZorV3n/+pw9hbJ6N6MxKmwnRTB9z95FX2L0mbV8HA7N+AHeWz7j9wnbnMXMmEPT7AVwajcc7izRtArh1K6Ge9lFLgwLxyr7nbP1BAAg8sN3cGzYgzz7cUjiAOSmvkDvk6lRrfbBqCKylO5JWYGRTyXiwO00t9i4ZTg+4y0MkZ8V/Y3tP1sHvcL/xsaYTEFr6/uB/8SAaDlUTeTdmdrrqNFYHvoBuZRc+j4fTQeyeF9I1znpb+GhNs1nERROtHVPPbAUrcnzUaggLZybvAVBrUWid7L+1TQ0wS08BKVJNFaCN33A+9F94kCT7CTCYGQ2xuZkvy7KowAAfu4ajN5NbojZs1/FrjNEV7rUb43Jctg4F75zi+8iCCWShKAyBLYU4+NzlDcjcaAWwe4Gmt74/B9F4561kTTAc/HB2Uid0wuzZNSHP0/4K39vS69YaBRu8KimfSy711S0aZ1xudYLUqTWrUZu7GxkVppn3pHG8Aj7cEf1aAR7U2D6pl1NeGUWBVkrNM3Y1TKJu9ZGaS6ZpfFVRSSIrNtSS3eazyKjwHlzAa9CF0hL8UPdVQD/5qBjxdd7J9gmgMvMWMBXr16NhQsX2vy+664B76iWQUrpxHyTpUF10gFsL90Z4yZmLg/C+orqLnBLkJrJb32uhfsbs0l1vWnLrNXBUgBsR+reWRqyzkDaZ0J3GCGDh61aWzaGLGlshb7y9gR6aq+UQB4SLqq7LXOjcM0GXPo+n/82Gp9WIP0WoS+kPf19o5uKb2Stp7k1ELixv6sHPejB9UWPAN41uO4CeEfABCDmDnJ2yTajk51wwyla+wMiH7zdZFnWBEOhYCL1NeXv2LQU6uxMkU+1OiMdihA6JcsCgoF2ouuCk5NJH+IzL30CABj22iNWv9+Sy4wloVB4Cta6ekDe0miy7Ls3p3BhzpRGxJxAxq69U7MQAGk+7H3WEphwx/zmbYVQqy/9no4IJl15gJIeEKSUjKx/PwhdKer/zvqediTJUWb0PMRteb1DBzlT7C7m6mDt2643b/C1gDSlvSmY03JJD3GWlBDd0YfZHnT0UN2DHvwW0FVjvrsK4F8dcKz4ev/EayuAd2sWFClY1LSTgrhdQxIHICRxAG04Oh2g0/FNfPSycRi9bBy0xZcRNCSGRzi35eegcM0Gfp/ny/eZfRcAXDmejSvHs3E0Yj6GfjAb7Ws+QvuajwCQ+XPi8llQZ2dCpuebBYibVhHSC0VpP6Mo7WccCbsXWp8AaH2IKUJXXcHvVWeko3DNBgx9Yh6GPjEPaDYWiqUYEC3HgGg5MqPniSK3VREJUA4aLEo2I0Rq3Wq+OZ8NNh1Zv6Tsr/B74VX0vSMafe+INirHkrDFrs0aUYtZI2rNXu8oXBsr4dpYidClT1m8jx1QGFjk+03PE1e8OisD6qwMqCISMGXP65iy53XOp24uEl4IZe/eVuvKxqo0qFVXVW723u9cH8bQR4fyv185nm32cMiEb1Zfa4uuOfYaxljiHugN90Bv0f3sGXNtYk34BgB1rQrqWhUK12wQMdBYola0xLRjCvYI36ytbWHtyIyeZ5KlRjq+ugrCd+uam60yPgjntxDSw6XfC68a3WOqj02xYHSUtcIce40t/aDOSBcxnQjLktZR6NZS+w/j7+xBD37L+L0dOHU6mUP/u9bo1hpwqfZMmHSkNXk+H2zCRbyprBK+06fwv2VtOIKhzy8UJYJhyUp07e1Utr4J1JnnuX8hC6xkC/qxYQ/inzM/xbYpG3mdMt6iZCNRq94VaVeZFsbc5pK5/jBivyAh3tETRuo60FGXAHPaSEvc2SbdJSwkDrEX7Fu0cme4/fRfANaF+osxqXB5gej1QscMRNHP5xD7GB26WtPPQT2LKA1r3nhZlEnSlkBAtvk3HcjCyI9vQdj8W03eL9T2WtOeH1u6CqPfeZx+1FYhrfdfTQpVUk2HVBDpe0e0fa5W+nFz5Xg2Dv5xO+7VGOansGxh/6b5LMIs2VY415o+VBQp4hC3hSg9rfWTJjsTOr2VSDi3pTClvTWn9bHHUmGL5sjWrJ7W7rU1yYhw3HREs2VPMhNLPqLCPnSk9UdYP4t9KEiow/9mpg6ZK1bDM5h8jyNnT0DDiBmi68wfe3b6S2hXNYjKYeM8dl5vbLhtG49B6cwa3R2Cu6Ww1Q2zO9bdVpgaT8K9S8gMYy4pVw8M6K4a8P/+4tjyHrA9i7xD0K0FcCmkwqQwMMfaJLK0GbEsZtrDe02aygHDxiTMVMaE1MjZE6BTqyGPEGtG2XW/F17Frc9RNsndj+cYCWRXjmd3mzTc0sNDd2RAsNefnHFUC7N9dlfURQ2DT+EZAEBDeDyODl9o0yYozeraXWCP0Hot8Xtg9zB3cOpBD7ozfg8uZTcauqsAvvZn6/fYgwcnO7Y8a7iuLCgfnxuJxy48CgCoe+BvCNz0Eb8uNCUyZgshP7ZLSy1aXX3pev4pruGujB6DwPyjXFh3O/AjtE3NaJ1Jmk6X7d+IAs2k0cXMvcR7QAyyJy7hgp6Q1QAAz7QJAGEThkDbqsapm/8JALip5BvRM0UKg0k9ruGUKA1uu3cACoMTEb7pbf7d7DtZ2vfSuCR6T85+rlkEgOCP/oTAlGRR/TWfvQ+A0mXPT5uEb8asBwCsC38BCWF1AIDo9my47FiH4zPeAgAMkZ/lZcZnfg24eYh8o4VmZyFjCvNR9nOiiOvQnJ9RGpeE2nbqlwFlu7ifOes/ZlbfetIHocHOKCtvAwCubWJt/EHoStw3+jIAYFduLBboPufPxuf/yBNpaJ2VUFYWIytmLgBgYN4mXI67mdexKbQfXE/tBQA0Js6E8+Yv0XYLuRCY4vBl7RCpyUGRIg4NGgqe9VS08LHAfbPPrqHfsUMgP7YXX0VT/y/E5yLO9SJFnGgcnVCPQKx3GQAguyYcw3wu0jWZLyI3LxeNycI1G0QuA8L6udeVwElFbV++cStcA7zhPYncbCrTtqPkJI2zuFlD8evrP2PEk8Qk4DN3HvLD6D5z73NtrAQAOLU2Qd5Uz7+7NXk+WpTEDuDVcAXKcweBNupD4XxBYwNU/W8ysJXEJ0AVOZj/rpz7BLxa6B37VYno90oSnFfRWO1ddQLNnsH8PXnqPoh0pfZy+fDvCJh9M7Ql9G3y8ChyK3ENpDq1VBosY0FRaNv2PdwTR/O2Z/CoLsQ7xbca/Oj1cRnCQ/737g8BAC6XaBEV5oSZAUepHNdAbM6IwaQB1QBoPLI5yt7fEB4PwJAll42H3NQXMDBvEwByVatp9+MaZoAOvO0FlBTMydcH8A3gdZfptGj78l8AAN/pU5ARfStk0PE6MDAXmREPUuD48MdH4MqfVtH7q/2QfPhp3uefax/GXVFH+bOep3bxNOtad2807dqOwvtpLYjU5MCtoRzaQ3t4Xdmc7FdzGM615SiPGQcAOFrVH8OCiuD+IQn+Hov+hHwPattY1Wk0rfsSCi93AIDC0x3KPtFQ9b+Jfqsb4dzaAABo9uoFlx3rkJPyoug7WXvmbT+Jkn1kgZl8cCW2tKdgnuoL3mZChiHhPGRr/6EwsoYl7noO8vHTAADOteUo6TsFQT9+yL9TqDHVTrkFH2WTquwvMT/BubZcpLB4u3oBcrJobL/+QA0qdQbffZlMB4+X7gdA1sWPWx9CaSkpZ26ZpEV/HY1dl5ZazH7FFbvmHwZATDbSA+PBUCpnQtlXIqVEaVwSXNto3W1x9hDNCYD6fGxslag9zSEzeh5nfzJniQNoPh3xTcW49PcAANmJf0ROlT9/rnDNBkQ8RkIcW09MYbP3IgR5tqKykZKf+HuoMb70az6m7x5dirBKAzuN0PpWGDcDUTm7eL2k6zuTDcx9A1vzLvnehCDZVQTlHQFAY+XczDcBAKOKvkVWzFxEqHMB0NolZMiStlF2zC2oaSGLzNjSb7D44Gz0jSeFnzCGR6pUYr8tUiSbQZrPIqTk0N4uC+rF/2aqfjc6C8qa/Y4tb2GSY8uzhusmgG9V9O+wVsaUaWyzNw2wW+rFA0wavCR10WBCrjkIF1bpJBEypKgz0nkmSGun9z0pKzi1nFSbb6lN2KLCMqO9c0+hxaQ9q3UPY5HMfkuDOiMdDUWk6fefOd1qfSwuEtW0qME/sNNaR9ZGA7O3ISxnv1FdAGOhekXlAoxcSIJI3zuiEZI4QLSZMyHrjqYvLL5b2Pe2poe3BdbGn7RfLbH9SAXpjlhVWDnCPpW6I0kXc0sBnLZsIMw0bGpcm6tfR2CJmaa7a8RNjbmuDjLs0UQSVBEJ2FefaLS3mIK0zRzVR9bWCXPorpYxe2GvK6UlV8ke2I8eAbxr4HxtX2fA6DNr8fa5kfhTFrF+FD2wHAPz05DZ5xYAJBypg/Scw/u3AklzoNu7BQAJqVpXD2x1uYt+ux9CnKteExg4DkHHf+RCd1Haz/COCITveNKCtSbPh8su0rRNXxWH3fe/i7eriQN2QLScc7SGPLMUsjY1AIPAnlvth7Dd+wAAvtOSAK2WX8tJeRF31PvSj6sa6Dx8IGttAgA0h8RhdzNpHOe0fofQjMOAhhYHjV8ICv1HIPGvZEtp8wmCcx0FaTIBmp1SIzU5KOk7Bak+dKr1qDrAr/Xd8RbeDvwn1yQv/TYKqXO0QClpkm7fNg0vLKX2HF64AZnR8xAM0ioG5h9FfSQF/3kXnQUmz0L9W+/Qb99gONeWIzuG+sVbXs+FX5cd65CZ8iIeiCWNXaaW6tLaTpy4veUFOOSTwL8bMAhvWblaVFU2IzCYSOvvHH0FYZtWAjAcjBaMugQAeHd7JN7qtx7x2cTh6tlSycu5KSAbQXlHDBp8nEdpXBLXrg70kYsONcIDmLakEC7xdP7UBITDqbEWLX5EAVjq3hetWiXyqqlPY1EjEjxVkYPhUUHfrXVxh3r3VqwfRUw2i2Sfc8HzD8PPo0weKdKAf3xuJMbE09gZFgikaQxcuql1qwFnaj+0aeCyYx3S9Py5s3Wb8X/vkZ+6evNGOI+8iVsY2AExUj+u3AO24+wrnwIAEhZOR8n+kwibPJzKHT6Oa44yo+dhwMEPoW1u5uWoIhLwSOQZurdYzn3jVREJaFV4AKT4RVbMXAzM24TwpJG8b7mrltIVDcFxeDRCb9koFmugz2mHwt+VxuaS5/1RvuYDPPCn+/VXC5EVMxdlKh8AgLOTDkHupDWLzUinoNGDmwEATn1ioIpIwDktjd/xpV/zTKKN7e74f/auOzyqKn2/M8lM6qRX0kjDkAKhK0VCM5REsHeKuuju2lZX0RW7uwqoqyv+LKuCFRFdkdCCBCIBFAIIhIQAIYEU0uukzkxmfn98c87ce6ekkEDQvM+TB5J777nnnvqdr7xf2DfPQG70H/7hddP7l34zF88vbuec9ar2Nv6NAG30h0NuAwBcaHJGW4cct1bS+FTHTcHfvg7B44tISxeiLUCbkgJYl3/ugY8mb+XzkgWqsnI/OD4Gi8eSxUMnV8K1vdaMH3/Gzj8DADJmvs/bM21LJZJuj4frb6R91lZVoTpyDkrCjeNewIfs6azFi8/+iuQ7JwEg6xLTBKc2rsG5qGR4t5cBMHFN8+tl7wCu9C3v+b0FdEZT4jMA+WPvxVXZH6M5kTTFmU1jMcKXyglM+zeth0nzAAAdju5QaFoh20kxM7LpKShwHQ0A8JFVwWfPOrRcTfc6dDShw8GNz+FmrSOCnEgB4NZWDZdft0DXSP2vCPBH07E8OHjR2Kg6WsAZm6bufUOsjR45GmkuNKakGvCazenwSUnGkVDaQ0bnfcy/21BbhZNjlyKi1bRWTHPLhuYX+r1m/sNIP0MZh28OOSDiNP9o8lasMdyHX/dXAACeX9yK40Ytu4NdJ8qbnPgewzTgeqMKLMTfYMoh0d6A5/dPwuvDaK+aN6YRMLGMIs19Cd75ZxYAYOu0H1C94BEEnaG9KS98AaKaj9B3O2TDpa5Y5Dq5FvdhfLi5BtySYkvrFYjtnbMBiLWn7MBaEkUKGq+2Mhw3jMKYn54BABSmPosztd78Od3ZM6i5jpQdAWezaK2o/D8qzNGUuGST2xLUNsrh42HaW1Mb1/Dx6TNkBNwdWvk14bifp/mOZ8yNSBwGQCyAF0TOQ9TZLWbfKrVUxxZtFGn+RfPDyGEe5U2LYEGtF9fSs34RttOR0FvhZN8BgKyz3dWAl0VPQ9CZ3TwHSHDBLtG3LN071yIP+A1Pt+PRZ6f0OQ/4QMXlUR/3HQaUD3hXQR9sYbX39oKutg7a62jxdCk7Ce1pcgkxaLWUtOdQOgBg9/1fIerGoQi791b+DlvaZ2lgkK0UvkIfdDsXF7ROvp5fO5i4kARtALGHP4Y+iJJD6A7th6GzE4qJSQAAeXMD1MHxPGI/5K4FooAjwDR5uCbDGKymDhtpMrf7BAM/bxO57pyRx2J0MQm+wgkLALmGEdxVRgpLWhtrCwG7HwBUxzORFv6k6BozhZ0c/wBiizbyNht/9HPRO4TCozUtBzsEtOoc+XdZqquUisxS0hWAksyw8daVxlhYppTnnW3A3dHOdEXFaOfigq0jySVhxL/n8HHbFc5/+q3o3p5odLvSdFpzR2J0m8LA5YvhAS+MpEQuTToXlDSoLAYgdue7ehO/YKiu5ObagYqPO++Fvxct1xdjgemJZtuSm56wb7trIr+YPAA9te70ZAx2N0ZB+t3MWsPasbcxM8JA/95qqXua76EvLSf9HePR27pe7Df2xMp5JQerdhcDVQP+qbk4clG4d3rfltcVBpQA3hXYIqfw8+tys+yrIEJb5Qi1qd0VwIDLt9n3ZGMayEGYv2dcNh5jHWVnY9r3wf4fxCAGMYhBAIMCeH9hwPCAs5O0Ne7dvPAFyFq2DVnLtmHXks/QsHM355Ft9480ccoazxPsXk1uDiq/T+P8v0I+YkAsRKe5L+Ec4VrPAFE5zH+0fkcG6ndkAI31/BpANHaHQm7HoZDbeXnsPWnuS0TfVbJlD3QFp6ArOMWF4u5y4rJ6CsvMC18AdXA8NnssMXFPtzSL0gQDQKkyEqXKSN6erBxhu+vOnoE6OJ7znzPTJStX2De6IpMbjdYzAO1+4aKy1MHxnL+X00JGzMfJiPlYuneuyCfXGm+2EMLvFT4nhTWe5uK1G7hbBgB0Fhfx8tLcl1AdmxqApgZ840ALzhrDfVhjuM/iO3XuvtC5+/K+E9b/XFQyzkUl8+A8Br2ji+j3NPclvE1mro6i8SSTAzI5DiYuREbKSn69JWg4NL6h9CMYv4wnGZ2d6Dh+FB3Hj4q4kovXbsDM1VGmPvbw49/JuZW/3IjiLzfy76te8AiqFzzC+45/X0gCiqJmoyiKzNLqkAQRrzo62ukHgM7DT8S5bwvCe3LDxXSOwv7MW2nyO2fPWBszNeET+PhjfOfshwVJ8n4pL+VlSctbuncuvrS/j7ffnoB7RNeF99+0YQIAiOaWEJrcHNEYNuOJF9Cl/jLkTv7/Dt+uuec73bw548/M1VFYVbcIq+oWoXjtBt4GbBwwrKxZxN9rUCh5cCtgmQe8KwjbT8rfzcDyF+jLS0XtziBst7LoabwuwnIadu5Gw87dov4FAL2rB7/H1nranbVW+C214eOh8/CDzsOv2+t0VxDWlb2PQTp2pOO1u+gtb3t3IeT23zfkLtE+Zm0O9ATs+Z6WxSwU3YWtPu108xbJDz3NUzCI/oPe0Lc/lxpXlAa8t7iYYKKWAxQ17TJhgtk1oQuKMiER0Hd2q0xLJisha0ZfaT0vJrCsZjO58AhZVvoT3dH29mc67d4GLfYlNLk5qDleYJVPvD8htY5Y0oB3ZzxdjAvKlax1700m0SsBAz04tT/Rn+vNIAZxJWGgasD/u7Nvy/uTdc6JfsFlC8JkwWjTXqfgyKu+fh8O6et4+nZtzFh02pE2SGfvCK29E1y3rQUAZD25BTO+fwSagjNm5WqbW+EyYQJfPCe9OgvP5H2Dzrl/BQC0bPofGs5R4FXo9dM4OwdAgZR+71IAlM+sqYCTC359hYIjxx+9D6rSEzBUUeCitrpG5D+M7HxOF6cqPQHI5CheQwE0nstfwsHEhQCAmFPbAKwUnbh1M2/CL0yYBwDjhsci35kWKOjMbhHFHiDeJH4ZcicmHCQqPF1jk4jPe//0lVC3U3ezQB8hpR0TmNoCouBUUQBtC2kxtV6BaHf25tc7fMMgy9zM31+Q8hxiKskOpMveh47kO6Czo+A0+84O7m9td/W1sFPX8/qcSXkeO497QKOlYJtHc/8OjTGAS65tx78L5+DOCaSNa9S5I0RbwH33YaSlBEirP7zwR641jSv6AVURE+FX9CsAQHPCRFmVtWwbrn5uKhSuRH+mjB8JtVGzFDAuB21HDsPOgcZc+sS3EOHVgFDtGd5WzIe1eO0GBIyL4VSUzS99hfK4iYjIp3bwaS8VCbIFKc+Z+bez+md3jMbkTJPfvM+IKJ6Vs+P9N9Ba04SACUbtl15vEoYMBmjyTvD50lZ4Dq2V9Ti3h94Td/vVqD5OQaK+8eHY/+IuUaKodGNgZ2rjGqC5ifdTQ3kN3BbcgOZ5FDBlp9ei8eVnAdA4VkoE64yUlRj1EAXXyR94Cs5byRdY56DEhb3HEZx8DV0bEgqthx9wIBMAUDXvz3Bro2DjTPU4zMz4K7KSiSov2K1BNCZF9IGH0qGrrYP9OAowlLc2iegjAfC2dj22C4b2dtQeonJ8k6chP5YCK4M0hThvPwxF9RTMJ6TmY2AUdftP2CMmXM6DxvKG34FjZd5I8aPDuWNrLRe82UGS0fE5aZq4rzwAfB7zb9wWdpD6TOmGDrkz/H8k6jbtdbdCseNb3qeaCxVYl/AOAODO3MfMqFmFdGjCd3Qk34EPjo/Bo+V/5/drmylw7fztr8EfF6DU0u/flUzA4rrXIDMGIKojx8L1GI1jQ1A4ClKeQ3QjfWerqz+ctn0Bew9qs5YJc3kf6R1d0OITzoNRD9RehfwiPZ7Q/IvuHZuMGsdgAED42R1AYx3aCqjuTlddBTg4AEqi/GwKiodTC63R9R7h8M78Cm0ltO66xERB5u2HBhYMP3YEMu4mZU5r1kmkNq7ha+L0Hc9jsxO1GVvzpAfDTH+yZiRVfcXX69DFt6AsehrGHzWOO+N6w+aI/diJeLPsRgBEQ/jz5L/j2rcoPqV9+s344PgYURIfZnFwlHegTe8I1Qtk2QiePRGbhy2HTJCAb46MggTLfUZge34obh9KY8W1qgAyTbuo7swSc23FF2KfZZkcRZEUiNzW6YiY6kzoDmTx55TxIwEDrbtC9i5L7EPqkARkNo0FYNnPm8cnuR1CZtNYfo8Za0tzEw9yZc/NPkDrniImVvT3cM9GPi99XDpwzYWvuRXs5vGVnLIXgNX4BNZftuIXpH8XygFe8loEnKU2E1qMXF+4C+ee3oRR9r8BsBDEbCHI0QDq4FDtGexsGI+ZHtSn0hgoYYxEtxjGLCDNfQkiveox/BBZehkZxe81CPNKxxWpAW/NPsi5fQHLARMdOccBAA4JI0TazZ761QqzHZoNXqM5PPbROwAHR/536eRPc1+C5P3EtML+Zk1jdqk0Tl29R1dwCgBgH3XVxb1IwOhxseDa1bI8voH0BLqzZ2AfGS3StA60RDHCfmFMDZawqm4RRi+Ms6qdu7Duh25r0oXuH2w8WjLJ/lE1oQMBf2RN9CAGMYjLi4GqAf9wR9f39AQPXNe35XWFAeMDLoUlP3AG5/FXi36X0iMBgMPIUXAYSbRrAeNiuM8oO6kCJoFO6JPZkXOcC+8AuZdMWTHHooAWPD4CweMjoI4cC72z6XSvKj0h2ixTG9dAGZcgYtEIXXyLiFeZ+c71dpOV+sd15fvX1XuaCkrQVFDSq7qI0NxEP30AVekJOjwZ9FZjBaTIC1+Awg++RuEHX8M+MhoARH1xMWB+gX3pE6hpUPP/e95xu9X7nvT6TCR8S/1sfUZEoTRqOmevkYL5VOqd3RC6+BZ4Ln9JlPCHtZEyLgEdyXeItK/dxczVUd323exvX9W+eF93x1x/gLHuML/unkB6mOquf2x32qgn81AKrXcQtN5BXT5bvHYDDFXl3PpYsWGTqI7WYkcuZkx1J25BiNMRqTgdkWrznt74QwtjHXrq19yfuJh50JvYgkEMwhIMhr79udS4bBrwprceEwtBHe0iLbImNweyaynQa7vuOs6/CQBTf1wMjboN3hOI+1dmr0DGQkqkMmPzU7gQlcQzxAUW/IytnkvgMGk4v84EwuLv0hG6+BbOZerRXiGiJpyx+Sm8cJ7MhS+FfY1NbktEyRiY4PXTHftRMeEWyIxaWd/dn6Nq+mI4ffAiAMB9RAw6h1Fd7RuqkJGyEpP/RUctdTEFOTo8+AQAQNmhhkM1ZYBkvuvClPZCU5li1DgzsyRb3Ka+PR/yxAmQNzfw9tTNvAkA4Fx+mrIS7viG3jk8TtTuyrAwqGPIhG7mE2zMaMggtCZwU54gQdG5KNLgDi1I5/cARNMoFSCPfE7PWdLsqoPjofuUzPEudy6CopFM1DKtBpbA2uG12R/h0WeJgz3auxZlsZN52dJkDULryE0bJuD7Ww6INvGeWE6smQ4tWWCEHNHCjKDSNgIsJ5Ji7xFSOVrKHih8j7Betg5+ae5L4DzFOHe2PgN06qDJo/qnT3wLcT4ViDi7jd8rNUGzd97wdLtZYgxhUiFNbg6ZxgHonVxF2fI0J3NNY9RoymbCyG2vJ2FY/g6EFFh3BmRjYf3Tmbjt9ST6FiuWA6FlSpr0iP0ekTgMH03e2q2xYSu2QNgfAPWhlJaOrXmM89lacpGle+ei8Ohpi/dkpKxE6Mk9AIDos5tF7xa6VrFvZM+rg+PR4uDJTfEMbAymT3yL9zcbQ9KMkJZM513F5EjnSKebN+yaas2+CTDvR01uDvYmkYuCYUI8WrNOArBu4bLU389sX4oZm5+ymvTKWp2Bnsc+SOOBrMVBSNtEONcGQuxEXyYn6y/0JBZMeO9gUp+BqwH/IL1vy3vw0oS8cVyRLigAaao1c40JDrZ/DWWYkSVA4Gd2qVCzOR1u4UNQM/9hAIBX03k41JfBUET+wyyJBADIJs+CYe9PZv6cbBEtvf4pLtBYE4wsaXYOJi7EjC1P4/wnJFQHLHuSC/LWnrPEca4Ojofq1K/QnKOsDywo1JKrhnTz0Lt64MHtEznfuErgqy39zt5sFlz4lMtFh4b+xFZP+u659da/+/eA7goQemc3tHiFduve3kK6mQuFD7YxSsfRxQR/DmIQXeGSUoL2MS7FejXoIvX7xkAVwN/f3rfl/Xl235bXFa5IAbw7C4q+gjK07b7/K1z97BS4XEPBYJDJe+Q/LNW0CDd6IQuKMKlLl7BQh0sRcd8dIUXorw4MTL/fnmpbbPXhgEYPxurFasH0pXRYkwd3TXc3iEEMVEgD8Qb8HB/EIK4ADFQB/L1tfVveX+f0bXld4bIJ4NW5B0RCbE8Ez4yUlZj+6T1oHj0LAESpnC+HwKjJzcGJr/fhgznkm7jac4WZzyzzPZ+adi+yV/7CGT1YsKZFc7bBAFGIvOB9AETvYNkYXepI+9ziFSpKUasqPQGdO6XAlWs7sEVxk0VmAGYCF5ajKj3B03v/c609N81JNzh1cDye+CYUqfOIxSG1cY0ZvaJQUOwpPWR/UDV2hU1upAGf/cvjIm1rf76/t4Ghl0LT1VuXnIsp26JQxZYtmQxp7kusslwMYhB9AslabO0QPxCFfs3JXEBPB/m+3kFp0QsAAOEHSURBVB+vGGXGIC4KgwJ4/+Cy0RBezIRlKeMZtd+UFXNQsOUQACD2MgjgTYVlqD/WhNV3rgBAAqLwUAAAyTCmP1/5C6asmIMOwTVNbg5cjEkZWjyCTRcsCN+AYBH9aT06Zt3G/56pHoc5SvKNdkhfh9WegLLU1B72VRRUWR6XjOTGDHTA3F0na9k2jE++A7unL+d/m7H5KQT++CYAYLUnkOZOFHbOicN5XwAAjIsx06Bb8s62tgFkpKzElBVzbN7DYMk3ur/gci35PysF7+vv90d519F/GvvtFb2CJjcHDpfA1Nzi4Gn1PSzOQjg3UhvXDLi2GsSVgW4LkFbW4ovFJXHdENKX9hP6+zsGBf1BWELf64/7Z55bfduV6IIinezSwKW+ANdkSFJ0CyEM4LGkfWTa/Wt/eQdzXnICIAg4EzCiKOMS+L3jj37eJ9/Q2wXxdEQqhqb9i/8+EF1Qeoy6GvrXy8fsUk95VvsbwoCzuqHj4HUuu1vPMS3w5d6gpK4wA43msSe40urOmCkuJZ8vC4btbaKzvoZw3RuI2uhBdI2LSZw3iP7BQNWAv7ulb8XXh+f9QQRwKQuK1isQirrybj1bvv5HBN42X/S33vjA6h1doDv860ULmT0x/VvbFKTsFgAtRKLkCO1tgKMTv7dHfucDBLY0Gewac6dhkAZzCtGTDZbxgPcGPfUtHQjMBBeDsq/+BwAIuutGs2vt/pEAgGpVuIg56FJunML2FSYTSZ3nb8a5P4hBXCzUwfFQbP4CAOCYOKpPy2bufcFVh83YXi4Wv5fgSI0vBX4jc8sl+Z7BQ4AYgwJ4/+CyuaB0JN8BpcAHPDB3P8onTsS0Xa8CoAx3NeGU/t2n6AAqIqfAt4o2+rwvTiFgZhUvy9Dejqxl5Aw0ZRUxZEi5Rscfo8XTYfvX0LW2AQB+eSmTniHPEdiPm4Scp94AAHgO9UTAuBhTucZAS+YmkbVsG4bfFW185zyRC0XWsm2Ynr4cHdmUQU59419wPJaSokw6+L6objO++hMqRl8Pn7PEmKJvN9EKfjR5K1Aq1jKVRU+D1kjtNyMiAs379gMAHOctwDbDPC58NKXcj/z2aIzfSYLJ3N034KV/UXtOuvAVzkUlI6d6CADS8DHtWUTLMThWFaH9KGX62nHtf3B90xqe2c+vcD+vHzt4FEbSdwdvWomO5DtQ5UCLpUKmRcCP5K7Csq+5VlN2xjfrF2PbV3s5RaDzlOGmw0RcApQCoZtlCRMePJgPPROGhdpKjW8oOhzIvcYhfR3P3Kdvb4cmN8esTxlY/wHArzNWYpTiKBy2f03viUqCynjNpa4Y56KS4aYjVxGNnSO8Nn8gcgdqjZwMADgx/HoE5u7nWknpuCxOO4UJEbTpKuQ6FA+/FiNzvwcAHIu7SVTHyQfeg7KJskdqjxwwG4/TP1uMlnyiy6o8VoSQqSMAAHYuLjg17XGUx1EfXnP4Y9S4ULBlyIGvoK2o5PWpyM5HwLgYlC37FgAQWLcVuux9ojobAoierarDG6cTTZkLnjyZgozhpsBkoWXn2n1v4YzH1Thb5wkAcHXoxLQq6sM09yWYtvVPWH8NWcVmX1WIoDO78ZMPWSdiPMrg0V4BAHD4ab0ZA05H8h1IVVPcgZeLBvJJM6itJ1MmyJBZgQCAoTMTOTWjo7wDQyt/QXEAzYmhRzcArm5o9wun61VFWAvadKrrdHhwxGERa9DM1VH44XWiTS2yi0HM1hcAAHlzX0Li+e+6ddBUlZ6AzsMP9g1V/O8HExciIW8jAMAj7UN+sPi/oP/g54f/Z8oGC2MWPjdyvVOV5PC2dj92BOVNTnwtyFq2DTO+pG/JG0X/MrpKRknJ8hjIW5v4muI6aSLN8W8eBACUjZoPl/efh3OgD2931iYds++EqiRHRDN65PNc/PUsZSD+5aVMjMj7AQCglTsg8MC3fNwJ6QsB4Pjsf+IqA7WbQ0cTFPmHoK2ica8cHgfNyVzYuVA2W/Xpczj8NlmJWrNOIqVwBar30O85n+RyGsI5si0o9RnF6VA1uTloLa+Bx8xp/HcGZVwC8sIX8PkyY/NTaFO6wUFB22VGykreD60OHuh47lHOoc8yIx7SUHZYNsYByqxa16LEyHdoPfd76insaE+CqqkTABAmEL4vRCVB1V7Ds4cOaTxpxmolzIQpzIoqdJFLn/gWIr3qEbX5FQCm+c3miH5fhs1MmNIMjWydTSlcAZm3n4kSN8AfJ8cuhctzRNsbdu+tIuuitH2txW3s9luI5g47bnWSWvZ0k2ZAsy9DVBaDJUpHoTIraVogbnWmOK02lT8vU+sZAEV9hWhefjR5q4i3XVpX6TXh34UWM9aPwmfZe574JtQsnopda3LyRdCZ3RYVOSzWytIBgWXC/KNktdT3PB/fgMKAcUGxlDpWOPiEWkep28aMr5dCHUsCDyuDPavX6tBUdAEew0goLNuXi/Clt/Ny5I6OXOitXvAIgs5QimN9WTHkQaFmApNQ4JEiMJc2rhBtAWTrP8KB1/aaPddaXoPDb2dj2odUB11DI5RxCWg5QML6rus+6NLkzXjLT8dcxzcCVekJXIhKgs+P7/L6zdj8FNBJizvs7FAeNZXqWfCzdSYRuR00OUfRUkZCged1M6xXxBiYJGSDEW7KQgGRBU6yQFD7xmosy78VK2JI0LPlRsQ2AUtacEsCjoh/uL0NjfupbeULH0L9qy8gYFwMrxOLI2jNOilaSE9HpCI6+xMUT7gbABBWYEq5JTwIALRBCzdl4UJqyV9c+B2Z6nFIbSAOe8avzdrB4af1yHpyC2ZseZqau6YCMp8AuvfEMVEdJh94D5Wr3oB7KLWv+7SpIr/VmaujsPUlo1d+5hb+97bKWrhPTxIFQwsPKZNfmw2H+AReP9m1s2EwlqusKYW+9Dz08RRg3KbyxxPrQgCYApHtfqBvE2au7QqbPZZgqmu2aINsdzG5D9myPghThrfNuQfuxUf5NTanAaA5KBauZXmmB43WJUt4+vRtuCraFXf6Edd4hftVCCvYYTGjal2THIsMn1h1X9Hk5qAh9QEA4sOs8DpbA4UCBZsfTs00L5nQLrUEAOYBz1nLtvH15rofpmP7s42wbySB1ozWMWgI4OHN35/082uwU9eL6scgFZylPODCcSR1rTNUV0Lf1goAaJ2YCqfmKv5NQrC5r/Wkca+or4ChuhK7ltD8DszdLxKUdR5++Nl48OqJdVCTmwODnrZChwQ6uAoPJergeKhKBAmNrPiE831KRjnu1EGxVscr61+ezl2VzcduQcpzKI+byOe+5sQxm5pf6XouHX+XgmXLFjuVlA/f2r3dYbiyZC0GLk5rbctSIFx/6l99Afc2P2M1f0R30B1/9t66TzEBXDgn+gIDVQP+9qa+FV8fu/4P4oJyMT7g9TsyRIKh0ATNJiDzz/YfcxUUPl6QBwabFwSgInKKWaIJITpVpLGzU9ebLQ5NmT8DANySpqJT5SnaqKQwSzoimez9sUBaS4RhC2ciUxC26TWoz5M7kPdc67lZ2SJhy4/6UvmlWlvUluXfiuUz80TXhHX6RE8Ly33yi+Ol7y2kfaRz98U2pAAARvudg+/G/4jGirXkIC1Bw+FSdvKi68PGJuvT2zalWE0kYwtsbORHXA8AiCncZPVeluiiO/7EF2NSf/bs7TiwjTTG1hJrXEnBXv3t4zxQzfC2xkB/0RB2ty0Gapv90TCYPKdvMSiA9w8GjACud3YTZb+zBUs+1731ue0LH7m+oH/Tl5cCgNlBwZLmnwWGdnr62RT6ByKsfacIcjuohww3SxQk1Cp3lzFFiKY9WXC7dkpvqo3Oc4WwGxoBoHv9faX7gNuqP7tWM/9hdD7/MEIWUobVyyZ8NDdh6VHS8A76gA+iP2BN69oXYOuaS11xt/fA7uJ34wPej+0/iK4xUAXwt37sW/H18fmXVgCXX9K32UBXC0/THgta6sZ6+gFNSuHEPP3OFzj9zhfISFkJndG/GiDNOPthzzWEjUZD2Gj+NyF0Z89Ad/YM1MHx2DfkLmhyc/hikJGyknOSC11Vjr34EQAKLNV6BYoWD4AWE3VwvMgVQR4YDHlgsFkdhBoc/n32CsBecVHCt7BO0voZaqtE39ldXIhKMvtbmvsSkb8c+06b0HdCVXrCrE8hkwEyGcYf+8L8mhXoPPz4/+2dHKDJzeH9JgX7Zk1uDtfGMjDhu7tg9bPUJrZQv8Pk36gvL0XDzt3de1Bu12V/sW8T9gcbb8L+Zpu2tfZl14YUZMLjHy/w9lztucJsXF8Muj0GXd3w0eSt+GjyVqQ2rrFadzYWhd9/OWDru6z9XR0cLxqftiD9PuGawiwo1upka13oKZgV5fcANqZ6KvwJ+0I6L1i/qEpPQFV64qKEb2t91Z369uWcFe6t0ndcDLrb/hczv3uz5w3i8sJg6NufS40BowHvKYS+nlnLtmFaJlHnyZsbLrZqPUb+m2tRttvkvygN7hMGTh1MXCj6XRqYIfWDtwRL7ipSH3qbbi5pT0IdkmAxFf2ZyBQUD79W5M8MAB3Hj1L9RiSK3ik8IDDNsMGBAqRkHa1mdbWmWe2OpuZyaEEuB83aQHaDaD/6G7QpFPzVX4l4pOOyO9axgdxmg7jy0V13lt+Lxrk7GKR5/ONgoGrA39zYt+LrEwv+oC4oPUF3FjmmMXf09kBLWRX3Ge/pAmnLFF/5fRoAwDNmqNV7BhJ6IqQIgyUvBtZ8li8H2AFhIAtrl4vH+D/NpDV6xPXK4LwexCAGMYhBXBoMVAH8jf/1LQ3K32+8tE4hl42GUIrmoFgcGLXYum+tTI6aNNIqu4UPgb68FDWTbgUA+FTlocWT2Bcctn8NZVwCShdR5kb/9/4iCiRURkWbgienTUPe0Os5RZNQgD724ke46v0VSGEm292mAEoAaJ99N/zJ9ZUC6Vw+xLeONEhvLngeLVfPwxPfEOPC8sVaeLeR77NDSy1Oe07kNGCq/P3QnD8PuTMxMLRNWWBT6BKxhZw/Bk0+BRh2JN+BTPU4XP05BcwV/fVzDMcJUVklCvqWWJyAxicY6dpZAMQ0hLFFG6F3dIG9mij2pPRIJYooHlBZ8vn3eCXiE6xecBwA8NDGESL6piRVNnb8vQgAoHPwhX1jNS/nvyfG4nGPtbxu56OuEzGNWMLZSNJGe+hr4F100Oa9DEdCb0W0ntpo/dOZGB9czDWsem8vbLmKMn5e6/4bZF++C9z1EACg1D4cb39hyuX52D1K/t3q4Hh8dmocro4hOsvR9duhO5BlGj86Lc7FUCBlYGO+iD7MklDN2ivKuw4F7kuQrCQ3lEz1OCSfNGU7PSWLx9jTdHDVFBZCPnE6cISYNOwjo7E38G4Eu9CByf+bf8Jp7Fi61zhm2HtbgobD6cB2qmojaZY7Ai0vZJrcHE7bievvRqedko+jo6XeuF2xAVsUN/H7nadQ5tAZ3zwITXg83jlFNG8x4XLkF+lxJo/qN31GIHzcdNRHJ4G/nv0L5mffBQB4/tVrcG3FF7xdfFw6MOanZwAAitETIOto5a49qvYaUXsKzc9zDZvQvPF7aNTEttHyxDuo0xAlpcEgg9JOh6u2vMjvF7KZCIOtl+6di9R5/lbZGZqDYrGh9Bqqq4e+SxYH4TuENIQAtXf1gkcAgDMyAeRK1eAZDp8iI7VpcDwx6NR9TDfY2XEbal7EDdh2xANPeK4FANSkbYf3RKLFk3n78ecB0yGUuQ00v/SVaW0qPYHiqFmcSlQ2eRbsTx+DzNef10vITmKpXCFT1d6raG7JZAaMy/gHWo1MS24LboBcXY+ffBcDANq1cszrJMpCjbMnFAczUJZ5GAA4gxGDbPIs/u6le+dileYpOPkTi4twzKOzE5r8PD5HO4uLULbrEA8wLvn8ex7LAHsFoNOiLHoa74e88AUW94mcoTfhqi0v9ioRnMY3FMrqYovXTkbMx/DCH7kF7oPZ+7u27srtqNyco1YtoRkpKzHhmcnYPfe/AMTjXBrbcvT5D5H48gOm+grK4qwmgncWpDwnaiPhOLcUNyMcK8JEdJnqcbxeXcXS2FKoSa8xhhBATApgqK6EzNffjNWoQ0va0JtbP7VYvrDc7iTrslQf9lxfKlsupqyMlJVY/3QmgIGTXMsW9JdFfdx3GDCJeCCTQ3PiGNIn0mIvHdDa0/lQDKPFly+WzSQ81O09CK+kSXSjMVENY/E4+n9HMezWSBiMhJEhS++BTEO0g8VRs6CABoEnf6JnlY6c3o3VrWIDsTcoXBxR9dB7iDlA/t0yX39oTubSvUOGoPiHnQhdQoJS0+7dcPT1gjqFBHLPynzI62mzybjpPxjxp3j4zhf7GPPJHxYGzXmTwCZso/Offouwe2/lwvLbX2j4JJEKWc379kPpobJK62ht4WKBdHkrqf1D/vNm9ydzWwvg5ML98uHuCV0RbeZdHSy6A60X8Tl3lbBJeEjpXPsu5/ot+fx7+I8ZBsjplFuZnQ/3UKKXckuaCnVwPBcuQ7QFVuvLyzdSkbUrXOGoUYvu51lSl9wGGATCrXGcM4iEBONzildXAwC8fngXbZW18JhF1ht1UKzpEMU2kJZmqlPxeTN+bKn1wdZmpi8jQYBRb1o6CPMxxuj7DHqRL33MqW0Y8ut6+kyjoNcaOAwA4Fx+GkA3s0sa2+idQOLkl7LrWBq7wm9jfv9SWruMlJWcF3qq2xG4lRwTPW+rTOGYOm8/DPHn/idyieqJAGatH4RBxoCEuk8mR8a8120G/xpq6XtZ2wvB1owQbYFFN7feWoVsPdeXLmNSNqVuBTnL5OK5ZwG2XP+s0eDagk0Lq1YDKJS9qm9XlttL7foi5Qe3BU1uDiqy83vFpiR8H3BxbFo9rXNftGd3hfP+en9fYaBqwFd+37ca8Kdu+oNowM02gKBYqAzWtUeKYTGizT5kIdA5hJJmKO6fCEiCFY/yxDzz0F5dB9mdfwYAdGZ+D30HaTaPuS9B8v7HoTcmapEHhZrVK/ezfADAkLx9KKj1wnCj9sdQXYmsJ4lPOWn1zTjzXRGaXyLKtdjRddCUlKASlOim0n8IQrxICGKc0dH1LQDAF6WKbHpPqI1Ak7B7SePvYkcavcfucQaKTN9coIhCVC5pdw+8ttdss2ZJSGKLNqIg5TmLi9FtrycBm59C+R7SVMba2HSY9o5pI31+fJeSWCQu4e/RG7WnFyOYMMj0nV2WwZ5XMs1eaQ2cjQel09+eRcjCm/h7Tn97FtN/In/mDjdfqEpPIKSL+FBh+baESaapuxB5LYYUZPK/Mz5fVgdhu8xcHYVPXYmnHQCqCkrgETOUb8qq0hOIhYQjPZ54ymNdNor+npGyEjsl/W+pXTNSViL65nCc+Y4G0ozNT3EucEvfXaCIAoaaDgHCMdbSauIpN1SVQ+brD+1XdGDF9CSz8qzCoKe61lm+bOk7hH9jgreUe5gEWmNfNYqfVwT4QwphmcIx9Z+9ofhosuR6DwRXa+ObcXfzNhWWadB3ybxjSfAGqB1iZpcBAOQBQYCNjV2qke8KXc3r3mguLYHxGsca28ASVzog1v7pnVytxg5I39/VmOoTSIRvpnk1/cG6MNFVXS61sNYTQVgZl4DQASRM9hQXIwz3RvgGBr4760DB5VEf9x0uXyZM3zCRaV4vt0du+A1o6iBXjGsufC26vyVoOGZsJTO0+uefgeYmdAy5CgDguPNbYAgJuxl3foQZm5/iQYT2B7bC1dMDLcZy7EPC0JD1CwBguE8VFL4+kHmZknywFNy+idEoTH0WU1aQIJJe64VJnifQsZfcLWRyGSa/NhsAYBcQiBnfPYw1hWT6HO47BCgpQUzWOwCAwql/gdxAwqMmNwczvl6KotFEm4YCcgXwGEqbpy2zJFsIvNovAAAC09ehaP6TAIDwgu2oa3eFncoVADDu2FdIaxrNn5UuBMzMLMX4o59DDWDqu5SCnJ3gLQmbavcQLNs8Fi9Ek5DNspv6g+qnDo6HyqgNf6thMR73WMs1TszMKHQZSI3rIgGDkwcAQN7RBnmbWnTtQ829AIAHlJ+KNuGAJ59A1gQyfU9ZMYeCVY3C5ZQVc9DiMxQAoNyxHogfCbUjjYWi1iCMCBYHybL/1w0dh//sGYZ/qInuLm3iW0htXCPSpnGNqDELmhDq4HjAeK+y9AQ3M0ckAmdeL0L1c2RJafhkJSa/FsLLrXQIQ9RZOvQxATmKMfKwxEtGjPv7BNMLjRple3dKLPK26wt4qOwJAKbg2IBxOaa6ATzrpzo4HqpcIwNRcxOyTnnhzgix+0/dUErEY9+pgcab5qHOmC3TfZqBlyM0Lae5L0HaFlMGztWeK/imw8bEkzCNB/a9D9Uvw0eTt/I2k2bvUwfHQ2tPa4j/k2Fol8nhWFUEKT7U3ItQfz10erJizHP6DrI2NU5GzAcAkfkfEJtjpabZxtBElNkNBSC2SlmDNa1xmvsSpIb8W5QwyxbS3JfgWnfKWOtefJQn6Aop2Cm67/hjWxEoI4WEXOIqwvrEsZWyMOr3ZYgEdHVwPFT55Ob0Q8BjuKFZbI7vruZcam539AoEik/R7zEToSrLw9IsWk/fvF28/qnyTMqEjJSVmPbh7dA10Alq/dOZWG/Md7boVk8M/3gJGuzJLUIml8HdePBrDE3k7cTQvG8/ahdRVmEEAx0KFwDAL3WxovdL105hFscnvgnFas8V/Fr6xLeQpMpGpnqc1WfZ35pHzbBpZVPGJeCthsUAgMc9P7cpoAtZRlRlefxeS+u2NQtXV1p+TW6OmYXaVv8LA9iF1idLzwqD9dOMijGAXD1dGopFAr9wXkrXDeF3NoYm8v5euncuomrcEVUpTlYlfE6oAKq7/i/46lAkAOCB6w5CKUzaBbGrW7R3Lc9zYCkhktCdpqvEQd1N0mMtEya7/odxQbnCfVCuyCBMQOxmIGQWuRyBdcIMdABgkNnh56bRSCmkhbl55HQRY0vgtb4I+c+bovpy4c1Cqm0pbG3gbGOwdF0qIFpqK7b4SU3q3N3GVt2amwBXN1H9uCuGURN5MfzYrKyAcTGDGoLLhOK1G3jabbZx9lXyKOEY66nWyZY14lJkARzE7xuDjB+D+CNjoLqgvPZt96zi3cUzt9r1aXld4bJpwLVegTjoOB3yG0lTp153BHbXxPIEK4pR42CwJ5OdvLVJlNZ4yoo5UMYlIJ1pGb68D2nG/zunLMT4Y1/g4Mh7+LumrJgDuaMjAKBt6g1cGLYfNwny0kKoRyTRs3s3oTCNtD3F6Rcw/ujn/F4W5Dj+U9IMty97F06rHgUAeAwLRdaybXBNJirEWEMO5nV8yyMEMtXjkAwqh5XZYaybJjeHtNZGoTX96jd4vWsa5Fgi+4QHA7m1VcMhfR1yg+4EAMQFA7WOQQCAobk/ol0jh1PWRgBA5/gZ2OW7EFd5lAAA6rReGKo7xb8FMPnVGSBDqNbIla6GKJ18wfVPw7/jPE4Gk8be37GOB0vqigpwevrfMbSDNBuKjmZUeQ1Do45cevzCXeC5nL6rs7EMnb/uAZLmAQA+LJuJ5NgyZBaQz4e3ux7ztN9Tudn78E7gG7hzAmnCdhVG4J7OT7jgl64exw8a7x8dg6d8PkNu+A3UJkU/4EJUElw0DQAAuV4n8qll38XagQXKMi0Wa5u9LWPxQ5rJFP/sYh2OV1Nbs3czLddY30L47/0ae0ZS2ugxit/QaUdjV6Frg15mxzfv+rAxaFD4ol5D2mh3RTMOFJNve4RfG0bveAa6mRQMZr/ze2QJNNtC6k1lbDwyUlfx+ZK1bBvGPj4eHY1k68n5JBfRN5OLVsC4GCgC/GEIot91h39FU8r9AAC3rUaNpjFGorNDAzsHJQV4AjDY2WPPxL8BAFqzTmLGP65CvRMx5BSH34DxR+OhMdaJZaNl7cnaUthWDGlbKpE6z2R+T97/OC7MpxTiXh0VqItKRn4dtUtJlRyxoTRjxv30tKjcD46PwZOeazHEjdyy0rAEM5z3AQB+GXM/pqyYww/nakDU383z7kWBjrRco1oyoaiv4O5UQwoy8bWCNp3M3eUUhNlEvuhV4VfjVGsEEu2P8nq0OngAAA7WRJM1JIQODzx9uTE1+Zd2S+DuQm3tp2rHCF02HHNpzdkcsQxzsBn2tWRB0leW48GiBwGQVtghfR1kdrRBKIYMwaG4B3GVgcaVqvQESqOoz9zbq/DEN6F4z4fWEkOnaZM6k/I8nO3a4NNOQeEliiiRNSxTMLdUJTlI87iXayMr5/8NITk/AsbyzifeDK8OisdQ5WQCHt5oM1o+dAonOLTVQ5tGh2aFmyvvt0z1OF4mAFF/UlvJ4LD9a37tYOJCDJ1Lc88vIQwOXu5oKqI2cgsfgt/+m0l1+DGDu6owsL5vcvJFebs/xpZ8A4AOe5q6Rrw//EMAwOiFcRh/7AsAgOvRDGyOWIZYH7LQ+HUUo8JhKDrSqD1z7vsaMhmt7U4KHSLfXwSHP9PY/eD4GIwbrsf2LHJzfHx2Cc6007zT6OygbrfD9U0mDXCmehyclDQe2jRy3vb1joHYVxyKa8MK6Tvbqs2CjbkmOSQBbQoVPNI+5P2kN6b4CPzxTVQveAS+G/8DAJA7O6FtygI+H5P3P47t15BW2+Xa4WaH1OK1G3DsUdKEJqmyITNq1l3z9gHunjgXRRYEA2S40OqNcT/RGngm5XlsPUxr3JNen0Hv6oFDHmThGF/6DdbiPixuMLqUenhzpc0J/QioO5To0JFlSuWoQ1LF51hVv5jXad4Yk/9YbNFGfvhO8L2AoQXpACio/3h1EG+jpXvn4tF7HBDdTMG82LONB7dL4dhai7cLrsODI+he4do18p25qFj+PeRGtrryJicKnq/14vcIlQBfK+5DmC/FnE268BWW7p2L6FhaP2PCTf3t0NGEdM0MHiTKYpCEgcAMTAPOLEXC/6uMrpHSYFNrCgomAwjvvZJwpbugXLEacMAyuf/l0oBnLdvGhSGhAMvADg8jHxiBYx8eN9PYi0yIXXyDpcAhdXA8XI/tErEcdKUB7/iAtPA+KcmieyxZFCxprqUMKaw+1kyLtoKyesIDfuGXPAy93/Li2dew5Oow0AJkLiU0J3P5xtXXc01rZPRRxMRapWO0pokcyNSSg7jyMcgDfnkxOL8vLwaqBvyf3/StBvzZ2y+tBvyKFMClwVW2GAyyJL6xPQXLomkfGY009yXcrUTm7ddllDwTPqNvDse9zeS/LuXDltb9cps62fu74yrSnbr2RfT6xUKaREhYJ5atT8q0MRDQkwh65n50uTco6bjpFuvJIPoEl2OuXY5EVbYwKABf+bDkGz2Iy4tBAbx/cNlcUNTB8TiuH8lNVtmzXsekC19xgVfoKsJMlPabSEgKGBcDGAzQ5JGwQUK2WIg9KBB+hf7iQq2xwcEZso5WkZ+ylFqsnvkdt7cjKTkb2goyS7aMngMXQepuCNL5Mq0wcwF4NWoNtvJAnQSzdwhdKlQXTnKhpbZRjsX4RGRaLlVGoklDmSbHHXoDRZP+BACIPPYNlh69Hf9x/ScAwHHseOz2ugNjlUcAAEV2MQjvzOfvze4YjQBXYggwQIahGrqm7FBD4xMMpdHVuzZ8PJTaVpy3Jzo5rd4Oo4qpTQxfv4+8RW8ispkCwWSZm1E1/1HUaMkcV9KgwsgXjAEzdy+A5lQ+ZFOIk/3dwmREhcpw6hyZNB8ccZgLj1rPALx9Nhl3jacg3YyiSIwJrcXZOk8AZDZtnkdBl5nVCbix5VNuCh1akI7zUdfBDsQxHVywiwvebBwwrloNAATyJhH1y87Jb2EWtqHam9hMDleH82vJ+x9HxfzHEVR5CADQ4BMN1eZP8HXc2wCAm4IPiPiVjz26VRR4VKKIwoVmctNp08jh6awFAHg5NiNEWwA7Pf2eemEN9KXnUbqTgh49n3uZuzRocnNgP+ZqyBsoyDMpOBsO6evAmMuVcQl8XHtFB0F+82I4VxjpCE8c46w7AeNieOAYILB4+JKrRoeDG5+Hdldfi3a3ANQ4Eef+twcDMXphHLf8PFS/DKnzjAJ3xWpoCgsBo0cAM7ezwMvoWF/EhJson5JU2WgyurbY67Vw7mjAvlbiMf/fpiosvIXG1Ei7oyhXhiM6mw7wMm8/wGDAoVCa32NLvkGrMTjbuegY0NKMsm17AACd2k4YXiX+4+PVQaJgueT9j0MZl4DzUTQ+wwp28HmYtqUSN6T6Yc5ZckFoi70a2SCucoD46V1AQcF7y6Nxc+unaAoZCQBwO3eEOLrtFQCAL7EQ8wOIy5u5e7D2tUTBygRcFmzGLUo/PoE0r/sxW06WNUV9BUI1RPW4qm4RwobY41b1+wCApl8OoKGQgi/Ll/8PzvYa7o6mdvQhLnU2rvJMB7iO5DsgM+hRrKS5P0RfDOetn4lcSVZ7Pm7sX4op0bt6AAC22N3A2xUA6q//M8p1xJDjqWhC2JFvoY6dDABQnfsNBhd3tHnTuGpy8oNPDY1PnaMb5Ls2cjeT8c/eKmIOEQbsdSTfAYfcHFEq9MC/PQwAKPEahXa9g+hwUrx2A75bQEHNj4RtQbsrjT/ljvW8LwAamyWKKL5utM25Bz8UjwFAcx0AVGfo36WHb8HEyYEI8CLB4H+bqrirlatDJxrb7LFAbQpkTXNfAncnWqsa2+wx8h3jevnqR2jVO+FMLQX2j/c5A/+ze0XPsXHSEjQcjU7+fI2K8GrAO1+Qy9ZHk7eKXdeM64LdP/8PAOC78T/8W2f9/AgcE0dBCDZvAfG4ZAcdlpvBWdaCsy0hGL+T3NBOzXsR5+rd+HOa3BycmvciACDh3PdIc1+Ca74it0ahBfaXIXciOlbB5x6bl0xRAlh3QRHW0RJ3f1PISKgdaR05UjXUdM1ggDokAS4N5JaV75uELYfd+frk6axFfauCl38g+A64KsitpLDOQ3Rd2k5rcR9igoik4Oqyr0UuKAC4mwsgdnVhypTKSJojwr5n39fXLijC+68U6K9wH5QrUgMOQOQTDgCjH6EFkWW8vJTQ5OagbF8ufF5+FQDg3FiGVvcgvugp/PzQPIrq5ZC+TuSuAtABQpiensGaNtNQRX6XMr9AkcZRGBDHXEmkFF2sDsrIKKijTBOevas8aiq0yx9C4NUkgTN3AKn/PStPykAhdEmxpEm3ZpmQBtVa46FmzzJYs270VeCddCP4o6P6x61w/Cu1aZ8HYbID7XW3QbljPW/vjpzjcEgYAcDE4CDs34yUlZc1CHsQVy66u070lwtKX86fS43Lba0dxKXDQNWAv/yVrk/Le/6uS6uTvqwa8A+Oj8Hcj4hyq3n1TxiV/g9oGkiTZHfTQjg0kKAp72gTJf2IvjkcoYtvwfijd5iVqzFquNm9Ix8cCbfwIVBGRND1wkI0FlBgouNfnxIJiZDLUXGA/FCDZ02ALCIG2iMHeNlCraLncy/j/J8pCHPY/AkImzcRe3WkPRjlDjg1V4GRRj1wagk+cqXnOq++FsA22HuRNrdl3GxcM/MmKH+mzG/2oWGcL3Yt7sOXq3/G1ml0rSP5DpQooqALo24bcf47HkzncywdVTtOQXeSLAqq9jbsee8oZoCCmdYp78NYB9I+BiTfAaSvA4wCuFBo9mwqhnb5S2j6iLQinXPvh1NwPAKNHOId2gLOeaz56C3k/fX/OO2gUksZCmu0xuQ2UUEYwtq2vQ2aswWQT6KDyJHP38AMfMY1G8lzWzDi/HcASMhfVbcIi8aSNWRnyXDcfPQxLqBPATB3N2nYWtym4PqmNSLNZW34eNOmZq9AxmyyCkTfHA4XP3eowkjtLXdQomEWBWi2vvB3cmvqIM2GOnIs6hyHwKuVdMpHk/+JSjXR2yXvfxzl85+Av/osAKDRNRAOH76CjTO/BEBaMY2CrBSe5bnY73kDJpfTtfqwMcjTxkDbSdqVpMovuBaiTeeAhO3L+QZe+X0aPGOGcm31kMf+ijZX8vF3SF8Hu6uvhewM9cXu+7/i3wgATp4uOP5fujbxxemoPlGEoOmkUZbFjESdP2WsPBZ3E6ZlvILS90krF7r4FrT7R0KrcOLvUQZSe7XHjOPCN0C85VtXzEHbIbIE6BYsNmnLLrwL3ZBw6PfvorERl4BzUcnw1NAYzNHGQ2lHi2el2gnJv/4duXNeBgDEt+xH9fyH0dDpAQA4bHcfxoQSTd6MzbR2zPjStCFMWTEHJ+REHTcaJ9DuT4GVhc4JiPnlPVRlGbMozp2OCyMpQ6mqoxYaeycU6WhdGJvzHuDhLQrCZIevd/6ZhWUvTsLUnynQriH1AfyQH4P7fNMAAPaN1dxigMwtojgIaYKXrxX3IdWf1hQWACmMF5FPnM7bDDAFtv5fwL9hH3UVGnZSMJZzoA+yZ72OEXJKJqQqPcETLz367BTUNsoxfe1s3qdCpqZaxyB4txMv+GHtKIxR/AbX3yj7qraqinOiS3nF1cHxUJ36FXofGg+HvOdhZAdRujqUnoKhuQkdwymoXr57k1lmRNa2Xk3nYdi6AQpv6l97Xz90BobBYEdaxBrvq+DVRNavDgc31L/6Aq9DyLxroa2pQWcbzdP9z2cgaBrV0+n9r+Hz1Sv49RWib5yyYg7X7kotPC2//AKXa67B0S9ovZ/R9Db0fhToibMnkT/5EV73juQ7UOkQBgdjjoWClOdwsIg00zcFH4Djzm95oOtD9cswEYHYv5f2rgfuUKGpwwEA8M/n9+P1FWPh9woFWYfenoKSzaew1vht3u6mPBh1Q8dhe9kI3KklRRWz1jKkuS+Bwo50Z9OznkDN/Id5voELUUnIb6TxGOdWCOeOBpMyKMAfhrY2VCTRuuvz47t8jAkp/QDjgThpHtI1tGZLNeAqgK+7Xu0XRBbts6nLeWCipayWae5LMOV7WntZojT2XQYDz3GGa7zy4FN0gO8TE+N18HRo4fcLNeDC5Fq54TcgrugHCFEYOQcRZ43KG7kdYMwrIZyrAPWvUAMuhDBrNACcrfOEl4sGdS1K0T0MB4Nv59ry2KKNZhpw5vp4ISpJlC9C+rsU/aEBv9K0378HXJka8LYWHFy+Bon3kvDeWl4D50ATl7cyLoFn9mN8sXotbfaOiaOgdyKW4y3KmzHN9QCcDxIXtzwolJehDo6H628ZOP7ejwCAiE/ehUvteVFih5o0es5n7ixo8vNEiW4AoHYrsYV4X3s1tCFkxjXs/QmKAH80jyS3ElXpCTQHxcLVyDPald+vzt0XF94h86GlzGLCiSaljOsOmAan5HNiJPH4xwtWn5VqQLrKJsiesVSfnmiOenKvOjgeLr+SmVnu4QmDdwDfyCzx2grR2yxmF4OGnbtFG5IZGKOFndhXjWmB+1ojJYy3YJnkWJ+mG/nPbaG7tJMZKStRv4sOGtLUz8L+rt+R0WdWrp5o8FbVLeqXOIHujuWL0TYWr92AkFRaK60l62HoKltg8doNPMnU5YxduVQZOBkux1pwqXE5/ed7Gysy6PN/aTBQNeAvfant0/JeuFvR9U19iMumAe8KQr+1juQ7UP/qCyYu6cJCqE+1cmpB15tvg1xHmsoWj2B0AKj+gDS/Tp4u8I6PQNGNLwIAQr5YhrozpP255qVYuFw4BxjLMdtE5DIMu55cW07Jr0Lt9Ht4ghO3pKnQtRs9bnVapE98C+PlpLHNC1+As3WeSFlA5RpkcrS70AHBAYDM2QXKDtL0a72DYJCZTtrXfHkb1EZKK0ubi31jtYhTu302ZUKUGTrR5OSL1DO0gGk9AxC6+BZkGCn4AnP34+0vqL4fTd6K81HXcTpB4eaijEugTXihsR8k7xcKItL61V//ZzNfNWVklOh3a1RawuyQlrJ0Clli7AKH4awTaXCDNWdxw9PtZsGtouCw4DBexsHEhZix5Wl+X4Ivae/RKO5/0jBkm2VMBEyLvtTVhmmShIliHrtHKUrOUhY9TUQpJYXd4oc5pea8U68CUXGQNzfw6wZH0kxrjx5GR/Id0MtpCgfm7ofD5lesZjm0FtjUvG8/DLctNetLRutoV7uW/431CbNEpH1TiWmy/Xw+HXt0KyrrSHV1vx0J0SwxVFeMRTM2PwWdcjP90mp2K4fS3VXk98sO28LDsxTMGrb+6UxON2kpFbslXn2OOr3Nw4SU794WmDYvwNceN163H9jxLS93Vd0iPNFKloD8KY/yuIckZHcpbDD/azZeWJuf+W4lvKJJu7vgt4lmcwUAjzMZVrNfVN4WuxtEQlHwg4uhO/wrALH/tTAGBiDtvlymR0QaWZ9+nbGS+8xLYemQLvRZtgRrwr7wgKBpUIPpJXsqQEvvF/7f0iFF6srSW9YO6XNMQ8lo6foTFyPIsvbq7XdfioyRXQZ3sn1YkvCoJynsr2Rcid+p79tM9Jccl10Dzhau1qyTmPrjYuTfTYFD40u/ES3MeeELEFNBZtKmtE1w8veGQxSZmjvOnOH8uMqQEGhKSqBtpl385PeHMGLRtVAmJNJ7jxyC3IGWZfvRV0N3aD+/1yVmGEp+JPNvyMKbgMZ6lG0mYWnI7Mk8ABMAlEFDULOXTO9Ovh5QF1cCT68CAOQOT8W0/96Jzlgy+Vd4xyMoay0AQB4YjJrN6XALp4yByth4aPJOQO5MgpV95FXQ5Bzl3y0EyybG+GkNkCF00+sAyPR5ywJfTM0ypmpOSITWzQdaRwqEcb5wStSe1RHX4Nda2qiEZjWd3h4j8j+D5tw5attZt0FVesIiw4Khqhwyv0CTCa+jCcrqYhwNuxkAENmZj8617wIA7JY8AlVJDq/Du0PexBOea7mQM1u+DQpjlj5rYMF1Nf961UyzL9SgCAWB+ldfQPDM8QAATU0dtCn3QPcpZSh1CfKDciRlC9UcOwJlRAQybnkPADA8fyuGFGTy+gpNvNBqcDjiHoxooeA+ubYdMoMBLR6mPPb2OjI72mX8IO5HnRb66kro2+l6wYzH8dbnZJ1JneePSevvgt1SOoA1vvwsznxXhBmfU8CpNnokFDUUKASZDG1HDsNpOPVhzhtfI/7B69FymtxiOhqbuatNRXY+PJe/BPn3NOfO3/4ahtWToKXfR3OK+dXP2PwUT6gEmNwOAKBl2DgojMIiQGPu9ebH8dtqCvSNyt+JkL20kerb2iCPHQXZeQoMbB49C01OvvzwIRVwhMJlVcREeKR9yA80f1uowPBCskQxjbyhljjamUZXKCwzPvm23T/B3skBbVVkjnWNDMGRKcupfgY54mTHuctMSsHrkPn6iwQIIQXlGXksovV5/BoAbo0oGHY9AtuJr/n/csZ3qSmXBmuLMvKV/Bt5IxcDIKGL8Zb/58aTkO/eZLYmCMe9wYHcnjY73ibK7NdcUgn3WFor7ULFQeksE6bekbJAQiaH7hCNDWVcAgwKJWRaOrhLD49CQZndLz2Uqs+TK4b3rCSow2muqR19EPDz5zAYrZKtk6+Hc1M5On/JBAAcn/1Pzm8uam+GuhpoyqlcyOXIepIsXK1ZJ5Ha9Bky5tGamLT6ZtgNJRcj6fplKTbFfszVVGR7CzFetZJbl0yrEWnVFYlj0OxPFs0nvgnF8oIlXOh/J/ANPDjisOVMmO1tSPP/C/+bNBu0cCzkhS9AiLbAVE7Dpya/DEvo7IQ6jAJ/7Td9BqfRpDhi7gjDDxJHuLaK5o2QlIDNM2lWWUuQaqqF7SJ1ORIyTDVl/gxVMsU9MQukJY5r9g5hxtxuszu1tQBOLqZfA6JQ5ETjkSmfhPkepJkwpYcHS8Gd0nYAIKqfrUyYUtjKhCl1XZPeYysTZn9goGrAX/i8bzXgLy38g2jAmQ/4/FmkFZH7VEGVMByx6x8BAOhnzOIJSZTlpxFbtFEU3e4x+WpozpImx2FEomlhqFgNRYA/KtLID7Axz+gvZvT32rf8J4x8gAK6HGbdBlWcGunCTcx4pMoLX4CY8p/QqaXnmkdOh8r7BM/Wp46fitaNJKy7hQ+BV2w40mtI25v863/Q4ujBNyePZB/o6kgIkA8fTT7pxsnV6eYN3cybIN+2HgCwTbUQScmk3f2ucgLu1H7CfSen7vVDpe85lLSSYHV17rtc47k6dwWUNQmcBaP446/xybQf8KyR/nDfrNfhFdEMgLTGjho1116pk+/gyTgcOpqgjp4Ah0ISKFyrC0UCbbtfOBwr6Vrlz9moe+pTvui+E/gG7hp/Hp4gN536l17gG1PFK8/DNXUqKudTUpdh1TJ8XHcv6ouofVO9KrgQoHd0wb8L54h8wEeF1MBFTgu35/KX+MZUiwn4cvXP+ORt0sKiEahxDOaJRo49uhVDjvwDAFB1tACeKaZAXUNtFdQBRsYMZzeo3QIxYzPVQd1eg1+G3An/SOq39k4HHBaMk2GGXBiyyILQmTQP2LMNJXOfBUCbPPetS6G2EyY7+aBpDMaOpHPvoUMyvLiYNmG5oQCuIf5QGtMnN4IEYr0zCcOGPdvRMJc2NY/zR6CYPgfFb9OBIeK6EajLPoaWKlLZn/muCKqrSPiNvXE06l419UVM5S7snr6c12fKijlcc8eEM8ZI4rvxP3xMudjZIU+wyT52jxJeRTNxjTfVL6M6CF5jidFAVXoC7SofyKtJmFPl7YVD5AigqQEAEBlejzwvaqOzdZ4YmT0XnkahYPnnHvjbwuWAcXEN1pxFYSRt3sHjckhQacwCYNLCxl1Ph7fcmgBUBZIg4pdkAM6c4Idz+4BAqJTESDC88EfUhE9AlHcdAEDW6I+le+dieQH1ceajW7HoVvrydw95I+Eqe8TvNwqbcQnY4b0YwW70LdADTvU0/kZGy7D0x7l47B4lb2td9j7Yj5sEAPhOfwtuLaWDUG34eHjUnIGhmg7UScHZWKV7FLe9YPRTX3wLFt1K3+J4oQhVqQ+g/XmaP0zTPsKX3rt0i8kntLlKjjfrF+NvY+kg4or9aJ2YCgD4uXkcEuaXwaudLD+RXvXQd7ggP3AWACBq8ys8TgOVxYBCCY0PHSydtM3Qefhhm4GSaUENRKbQmscEW3bwrIqYCG30NPhuWk23ho9GnSMpHYbU0xra2UJrs6r0BDpVnlwovMpwAg4dtIaoXQNgqK7kgqO9hzuaTtIhE2D+wySAJ6mykTHldR7gvnXkK/y+JK1YiKvIzkfo4ltMQhcAtFN9DLVViAyvR7NqGL8/UyhIaTX4vpQsoW/efgAO6TH8vie9PsPa0vsQ5KPj7cAS8QQ61SFQ04bid4zWkjtSkeb3Z9Q0kObVR61Hsi99d4ChDP/cFYfXh9E78yJuECk/0tyX4J1/0hzYOu0HVC94hAuyF259Arp2YkeaoDwFj7QPwcQUdkgqURj7LS4BH4EEuYxE84BQZgUBaN2TplVnybO828tQ2eIGZu/MDb8BMe5GjXIj4DZ6JKqDaCz7Fv5CBwMdra1BgveluS9BkHsL0kDz0MtFA1XpiW75gCcFZ4sOMLFFGxELWnc/mkx/UxbRfpklCPRPUpGlk+3Xxdn5aH7pK4CWBni5aHDIjRhb/F65CSX/2IhIB6r72TpPHNePRJ27ONEYQ6BbGwp9aDz6dpQgUz0OXi7MEv0Vv4/Vl9W/zNiflg4pdE8oH7tCH/Abnm7Ho89O+cP4gF8m/XGfYcBowGdsfkrk3iAUtoX0awBgqK7EriWf8YCzM98VYcaPT9BFOzvyh11G/GfNF2rhPykRMifSMENvwOYockEY6VuKwNock+a1oRbw8Ob1Svr5Na79yQ+chTadA8acJBozuLqJgkJVL7wOnTH7YbXBH00aZ7SMSgRA2dhURh9vzYljUMYloG4oTdjf4m/h3w8AG1X3YkGT0T/elsYDRmFp9p3GRjGI3HTYhGZ1DMw1mZZjizbifNR1CPyREvHIrp0NRW0Zvy51/xFuXLZ8YasiJsKvcL/ob7bM9q9VLsQz/sReofUK5AKtJReUysjJ8K00BlB5BOOsHW16kZ35Fl1Q6sNIA3RBHorYQ6T9kTm7oNM/FHZNFND3teI+3Hz0Mf6dgEn7scltCaa5Wda8MC2szt1Im9dYjbzwBdhymKgFn/T6DG81LAYALBqVh2e+8OHaCqmZj2l4AGNWR/lbSAujTS2/SI+/G1aJ/HaFY85z+UtcUFFWF9OhMYu0+7sfXI9r9/8bAKCoK8e/Gxfjb+5rzb5FX1aM3Q98gxnfUMZFpvlmC/PQb/8B51gKcIQLuZOwTYFl12N9u81zMd58hVyQku+cROPESL93MOAmjC8xaUvVIQmociDtbuTZraL5LnXjEGrHNbk5nLKUQVdUAPtwsatTV+jKVC6ND1hVtwh/D6BDskxDQibqSMiBl4/V8gzVlSLaPKGWs3jtBpz5rgiTsml8/tR+LWob5VhYQS4omhGT4VhVBECgfbZiJrf0TSwbp1Pm/2DvT3UoTrwJoQU/mX1r9QJSfPjVnOTroTTfgrDOABCRvws+HbRuHBx5D2b8+AT05UYqtymPIkxzih9M9rtfzwORhe8FunYj2OS2hGePlELoSgcATZk/Y+8NawEAc+vX8HVgb8OIi3JBEaLzXCHXrDNI27673yaF1JWpr7nd+8pX/0pNiCUM1u8urmS2l56w7NhyQRmoGvDlazVd39QDvLpY2fVNfYjLLoD3FkIhUe7oiJ8fpYjny0Lp1NIM9VVXw6mZtDRtrn44mLgQU1aRpij96jfgPGU4r5/QBHwxwYjS5+zHTeJBopbotdjfpqyYg4fql+GjayltL7MOALRAFcTMNGvHnmwownsbd2UCANynJ/X4mwbxx4K1MfZHCIAbxO8DV7KwNohBWMOgAN4/uCIFcFtCqjSTI3BxwSW2fLKscXD3Bn3FW91XUGeRJlM1hRIBDCTNRm8FsiuBc1fn4Qf7hqoeP1eTth1uEUEWx7ql+SJ0K1KVnuhREOHlxCDrwZWF3mqCBzGIQQwcDFQB/NlPO/q0vH/e69Cn5XUFc6LLS4yMlJXISFkpEpgZdO6+3Mx/OiKV/115VQyK127AZo8l2OyxRGS+ZgKinYsL7FxcRElbADLxsXcCxEJSEz4BNeHk06fJzeE/jMLO5dct6Ei+A3sD70bjrkw07qLgvJayKrSUVaF47QZM/2wxfwf7luK1G1C8doNZtimABCD2M3N1FGZsfuqihEOexCTXFOgozB7Gfl9Vtwhp7kugyc3BzNVRnDtYCgcvdzh4ufPfVaUnRHzhgOnQIPwma7DUBtaus+A3Kdi3CYVv6TdKcSjkdpz/9Fuc//RbTFkxBzmv/FdU3k7fRdjpu8hm3aXQ5ueJ6iNiy7BQ555AfvII//+qukWiNmb9xsamEE5+nqjIzudjTh0cz//PyhKOOdafzIrkufwlHthqq/5dtTcrvzdg32ZrrDDLUU8gnO9WYXQn6da9FtCT7xbO0e4+251xJC1XWL7GJ5j7ctvC3sC7bV6X1tPaOy8GXbWFtf7pybjrTR8PdNhaz/9osLaGsDYSygz9CVt7wyAuHgZD3/5calz2IMxbbyRWhfL5T+Dbg4G4bRMFIAU/uBj2jdX8/jD1cb7Atr7zGkJvmInQBmNAyLgY0eLr+lsGKn8hQv7Ye66CJjeHs4wEjIuBRwSlRGZ0gUla8sHVFRXwpCehi2+BsvQENI3k0vHEN6GIjrXDeH/yET+buhwuz9/NyyxJ+9kkwATHQ9ZSY4qMP+yOWMpJwDWcQpqtHTeXoe0I+V0W3fQK98Nai/uwGKYgTL+aPFT5xOKrg0Sr9yTehHoEXVOBBNc3dBR82hEcj/TV+/Dwy+Qnr3YNQPrqfQCAB193RNuce/BNCp321FpH7m+uKsmBxicYFdm0QPlNux5apQtKlcSi4C5vhINxw52yYg7ywhfgkSfo0LPzoRO4EJXEE6gML9tu8pcF+cN2RpMmbHNnCoI9WrH7GNXhwWBTSt7/m5eNVUWLeCr6n4sjkeJ3ACUWAkbmjmkCisS+fYWRcxC8iTbYq4Lj4XANZfVsPl+OoR++Awi0+DOrP+P9osnNgSKRfEYf2D0Tb95eDIWGAn4KXUZySrjUGEr842Ucc5PsT0CzP0eU9MOhvYH6ITkeSsHB5YPjYxATLke0N/mhv/W5jgfQAACC43HD09RmW6f9HRXGOAfAGEBj1CQqS09A7+gCuTFwTOHqDLdgH+h15E7kkL4ObfUUtNpeXYfbslOgkhPVXOvwa3hgZ9aybZj2sRdgrF/Dzt2wW/wwXGrIz1cZlwAY4yDSfB7Aw/570OBIbBYNCl8MPfQ1Ws9QUFzF7S/wRBfS5BbKkBCoYydDlUuBYydHLYbBQGPubJ0npny/kHP5B+pLcD7qOhQ20Txt7rDjgUshry6AavEtomywAPBbKGnuRxWbDrzDD34ITUUlRvyJ6qJ3dkPFEKr7kIJM1IaPR5WMnh9u2AhAbIFiwkzynZNwdWwnJudS/5ZPuBUXOgLgbG9KsMH67IVX78aUii/NLUbG1X2dw/24fTS1Sd6Q6xDRcoy3UdrEt0SMCqvqFsHXi5bo8Sm1cLdvhNunFFjo4OWOxtSlaJVTToOwgh08D0FVqwrnKpW4I4cShSFrL2A8TJ9MXQ6DQcaDgqsdQhBxdhv/1p0PfckZZvQtLZDFjgJOHQcAaBOncDc7gNbPR9hzYUcAVze0BdDvOntHOKSv44xTq+pM89m3/gz0mdugmUPxK6pTv8Lg4cWZRVSlJ/hhocPRA6q8vVAfozZxiQjFmMfGcaG/s60D+1+kYPjxRz8HOjtR8hX1ZcjCm3hd1cHxUDv6cCajYbfSenYk9FYAwKjD78IQFg0AkJUUoHnkdDg3kv96q3sQGh39MOTntQCAlglzeRDmnb4/oWLVm/AfQ8HcDzc+jYmTA+HtTj76E7xP8SBMT4cWtOocMbbkG6pUUwP2xfwVGh0FCTd32CFZSaxEZe6x+OV8EE/aZIkik1NAgliadj5E33YhKgkqYxBmjWMwhhZnwlBEAdm6hkacTV0ONzva13w3/sdqIh6A1mwWM2WJtagkaiYAwKlTjTMdkbjmAtH/no5IxalaH/6coboSNRMW0DuNQZjzTlHmaHmAKQxzt99CuDu2o6yRguG9XDSYdOErfvBPGdvA1w1AHIQ5wrfMpm+3OiQBOx+icZORUoTQxca/G+eqk5qCoe0bqlAdOZGzhAEUTAkAY0u+QVXERNQYKC6nq0Q8tY1yEZWkMAhTGMci9b9mShJhYjAhrCXi+aMFYV7p+N24oPTWRUKTmwPZZGIAENLgSV1ZpKnUzUyqEgokIXriMjFoYu8apVHTEVywq+sbu4DQX3PAtLsgDdyl8icd9Fu1jN4mB7lc6OuAve5AxLc/iEEM4neJgeqC8vR/27u+qQd4/U+OfVpeV7jsLihS2DLHMvMwcytJc1/CN0mH9HUiTlqhKVlobpSaHpVxCSj1TkSpd6Lo70wgyVq2TeTGooxL4IJaR85xdOQch76smPNHs2+whYyUlTBUlXMtnrQ+AwF123eibvvOiy7nYlwSrMFr3evdvpdl9ARMh6emPVlo2pPF0/amuS8RHbC6a1LvzrdZMtnbQkbqKv7/g4kLu1W+Ojiepyjv7nuEqH/1BTPXC6ErltCVRQrhe5hrjLDO/eGi0BX66p1C2rVLBWv93Z3viS3aeMm1WB9N3tor4ftSj4lBDGIQvz8YDIY+/bnUGDACOKM2K1FEcY5SKZif9NR3b0RGykok738cyfsfR1n0NJTPfwLl85/gC3vS6puRtPpm1G7dgRnfPczLmLbT5Ofa7heOjJSVCC/YjvCC7SiLnmZz85YKKHuf2Y69z2yH3MkZM755kAsfLPkMmhqApgZEeDWI/Myn7XwJMt8AyHwD+IbbE6FBePAQPifcvPPCF9j0P7Mq2BkMQF0NqnJLUZVbanZZaLLi9TU6UDE3EIYLUUnotFOi00jPyPylhfXvDWpyz3d9kxFHH95s8os2JgVR3rIYylsWAwCcpwznDDWA6YDF2sdWXZkftSWwsZDROL7LOlZFTOQ/0QKXk+lrFsEle7vNOrj+lkE/N98GnYcfDLVVMNRWifzBLdWNgWVMHfPYOIx5bBwf43N334C5u2+AMi4BIalTeSpznYcf8sIXIC98AbTeQaL3VC94hLcJc2NQhoVBGRaG4rUbREJ9XvgCkU86i5XIC1/QYz9WaduwPtR6Blh9xtpcEx4gWH0s3WPtd2vxC9YgLYvx2wPi76qY/zi6wumIVB4rM3N1FI/5KF67AZ0qT3SqyIUKjfVm79g35C7sG3JXvwnG0nHI5hj7/u74wEsPe5bWTOk9fYW+ViIA4HOkP9/fH/XuDXrbF2x89nTP6Ok8/L1goPT3ILqHy+eCsvUjwM7OqglT6xkAxVkjny3zczYKO6ff+QLDHr0HZ94lXlk7hRyhTz8GAGj65mvYOzugNp/89xzdnWCntIdLADlhO0dFoP4wLQaK+x+DqugItEWUWKa1tAJORh9vZUwstD5BOP7A8wCAkQ9ch9aScjh6e/A6KvzID0xTXo7a3CKonnyO11MdHI/yJ8m3Lm/5bswvfI0/p4+M5Vnf7FSukEfHodk3gj/bW+aArlLtGhQkCMu0GpREzUTIIeI1Lt64S8R+0VuXhKbMn+GWNJX//nLp3Xg+yJh+ugtOc+E7Lb1fHRxv8tFraYC+hHyU5YFdB5ahnfz3andlwXvGtYAxMYvmVD7qrv8LAMBr8weivLbP2b2CFTGmrI9CN6KatO3wSZ3Nr5VHTYV/6SHujw0AzUHEnX32T4+h+N+/8Ge1+XlQxMRaLBcAdGfPwD4yWnR9yvcLAVDSkdbsgwAA58gIwMtH1D4O6etwfhfFPkQ/fLcZs0lrIPnY2u/8nsc6BIyLQcvcxaiwo3YcXvgj9OWlvF3rd2TAJYjGuTBVOAAc1SVicu5bOPMl0VnWr9oKP0cS7sILtqNu+060PvQvAIB7exUy1eOQtoX6MDrWFzHhpvN/kiobjjupvRUxsaIxIBzXFRs2IeCW6yEEWw+kkLqlNYSNRlbDSH7dw0mLhjbiKU/e/7hovllySZK2Z9sRiltwGj0GWm/yY2138hSNXWk5wsyiaUMexpyjz0Lf2sbbN819Ccb60nrkX3YE8jY1AEBfUYb/RTyHm1s/5WVJx05LEB0kWTbO3NfpXlWACqELphs/2ttmFtKWAwfgMoEUBZ3FRZC7uEAfTuXaNdWi5Zdf4HI1ZYysHzoW9nryZ3U9shPt50tg50QxHb8l/wsTStehaQ/5/Dt6e5i1Z/vR3wAAcoW9zbVO2oY1m9Phk5LM24D5Qnck34HaF5/DkGtofuWt34/Elx+wWm5X7+uuC5I6OB4nQWNtOMSH8qV75yJ1nr/FcqQc8YD5GOutG5Qt16Cjz3/YrXap276T9kgLe0FPXfaE8SpdQZhroifPCcd1Y2gi3I0JzYRgVufN0f+47K5lwu+U7nn9Rb3a23IHqgvKUx+09Wl5Kx906tPyusIV6QNuaxCxgZwbTtm7PF69B76J0XyxaD/6GxwTR1kt21oihGBdEdxKjonuFZ7qpQlrbOFK8LkdaLSIfQFL42ag0aRJx0Z3NzpLSVN6goHWDtYwYHz1LzEutn//KBhsp0EMou8xUAXwv7/f2qflvfFn5z4trytckQI4QILKwUTSDE7L/Bd2J1G68csiMBoMyEhdRVH4IDOy0K1h/LEvOAuCMMMkAJHWl6FL4byZIthZ1kLh8/xZmdwsW54ZdZ2R0UDIO30+6jp4tV/o0QGBv/vMAcDJRVQXoWBni5u9O4LV5RASLWmS+lsIHEic65bQX/WzNge6c2Ad6G02iCscFtbTQQzij4JBAbx/cNl9wIV+fL8G3cn/rg6O5z7UjaGJZs8cTFyIKSvmYMqKOdAdyMK4Y19h3DEjrY9Mjs7iInQWFwEtzWg5cIAHmencfWFQOsKgdITOww/NQbGmOrDU0sb3p7kvwa9Bd+LXoDtRHDUL6uB46EvPQ19KPsjnPl6Pcx+vhybvBOQHT3D/9dTGNQjM3Y/xRz/H+KOfQ9HRDCd1JXehkJqkYTBw39lvzo3vmpTS1Y0L36zuUn/kvKHXmz3G6sfutW+ogn1DFfQVpjT0YQU7uOBsiW9a6hMr5JRWR5Pp2ppvNPPNZd8v9NPrSL4D+vJSnspaitpwky+1obYKxVGzUBw1y+K9gKldMv1NrglNISOh8zCldZ+5OkrkhyxEzlCiMLMUZGaJi5rRRTF8or8Pn+i7XrTS3Jfw96+qWwQ0N4naz1J7q4PjeTsJ675071zRfGoMTeRzx6b/ZEc7asPHi9qYQyY384VWO/pA7ejDrUwMWQF3c19NRhumd3aD3tnNol/3/1zuxf9c7uW/u1aehmvlabOxIxLGjQmihOg8V2jTH9+Sr3BXAbTCeAV2v97RBXpHAdNRZyf92CjPUF1p9l4hGnbuFvHzV0RO4e1tiXNfX1YMfVkxLEHjGwqNbyj/XesZAK1nADJSVvIYFEu+tFb9po0HfeG3Ne3J4r/nR1yPE0NvxImhN8JQXSny888LX0AxNZI69QY/uN5r9ZolH/BM/3to3nd29jrexMxnWSB8W+IQl/Z/b9/L+qy/IB1/vY3FsTZ3bM0razEVlxLW+uX3yAv/R8CVHoR52TTgTW89Zu4b2U3t1dHnP0TtkUZc+wZxhu/5+2bM+PEJumj072WQaiuFvzP/wYvVZua/uRb6TgOGvk3sHIpdP6Di4Emc/pb4kaesmMPfoT2dD32HBooJlGFSl71PJNA5pK/jvzN+T6HWXMj0IvxdGRuPjNRVmJH2JADiPFWdPwZ1mMnnVQhVSQ40eSd4OQyZ6nFI3v84DHoaFoyrl73n3SFvYmnCIQBA3cvPw+v5l/m1ysOn4fGPF3g/prkv4ZaA8Uc/N0vkU6qMRLDmrFndhG0gBLN4sDYV1l3YLlnLtvHrLEspAIx8cCT3He0u2EasbW7lvrForAfcPbv13JXqLmGt/urgeMiMwsjj64ditfcqKIcTz3pXMQg9eXdPrCHC9/bWx/GP6toyiK7B1iy2/vTEytqdfa064hoAgKNG3ecWnDT3JYjwakBc0Q99Wi5Djyy3ffCeS2Xh6qu17PeCgaoB/9vq5j4t798PufZpeV3hsiXiYZsdE47GH/0cmpO5eKiWBMh3nF+Bgz9lwcyf/AhCtAVwbCENdVRyAmJvU8HemwImRz00GpXDKPhP/tY/4DN5LGT2FFyVtWwbkv7PFRcyKcNgyI2z0LxvPwAg2SMHCj8/tPtTUgb5ro049T8KkPII84L/mGFQ+FKg2/mJi3FO7YeJu57i9Wf+4n5xwfCcfz1OOpCw6T3PF0PGn4SzDwmFilHjoJfTwaB9+s3Aug/gUH0BANBwuhjt2S/A4zlKSrBxzNtYkP4YAOCjyQlAKaAxtpmq9ATSJr4FVwfSuk1Kf1IUGNeUmQ80m4K0VjXeiydLKchj6d65iI6l9jyTV42H7orBCGNgZLnjEJ7AwDllIZSbn0LdUGJj2Fcfj9TGNVhqTNbwUdxawKikPvi/c5hx7wmeHMYp5X6oig5wLUfy5sfRfILaKLtlOKbjhCgBUXCwaUHNDb8Bw9IpUFURlwClhSDM8u2nAABTh55HudF4E/jjm9QGAuFp/NE7+PMHg29H4LUkkPnMnk6CVjAFGJaPWYBTatLO6fRyTG/5AbunLwcAHF6bi+GRciQlZ/O2ZygcfSe+z/bjQYT5RXo86fUZ1+i/eXsx0hS0YDk7GrB1WwVfzNXB8chUj+NC4qq6RXhwBAXzdShcIH//n/CaTcktKiMnw3fvNyieQmW1djrxBCoO6eugjEvg1pjdD65H0uqbUZZJZZ35rghXP0dzwmXCBGSkrOSHkvSJb/FEQDGFm4C2FnSEUuBa5ao3ULH8ezBdeKebN+ya6N7jYTejvdMe48sokcjocVejI/I2dBjH0cJbvFDpTAdL/1O7sfTX+XgvlebdevU8uLvo4e6kAwB8+V0tCo9ScpCIxGFY7bkC9fnnqM0efQYPfRPKg9fStlTy9st/cy1inljMD17K0hN4rvA+pM3bzO9NuYq0zs2jZoj6jrU9AER61fPEGACQGreG38PalyUo+WjyVqyqW4Rbx1MA1/HqIOo/o8XsxOilKKj1oHY/3ykaC9LkJurgeM7yFFu0EcVrN2D99VT3J70+Q1n0NLi1VfN6s3Jev7sa++rjzQ60QjALxqeHh+NMXjVWaWitcp1/Aw9kk2k10OTmmB3yXepIq6518YQsczMv853AN/Bo+d+preMS0JFzHAofCmhvGTcbv7ZT4qpJ2/4Kp6Fh0FaRO1tBynMI0RZA//lqAMCeGz5Dkiqbv3O15wr+DsaIwtaG9IlviQ5RFZFTUKf3FrUZS3LWkXwHF4xbs05i8oa7oXuQ5nCVIQCFdR6iNrJ2OBO2iTA3AEBJzjaq7sVc4/yRIiNlJRfKhYF17Fs/mmxSSAjHcvvR3/BI87P4COaCXpr7EiSpstHoSBY7vx/f6fYBUSg8Jqmy4bB5HQxGwgDWP0LFBRvnb95eLBpTzJ/eVkCnJRdKS7Dkm880/cL8G9a+xZbgLVx3n/hGbG2RJqvprgA/KHwP4lLgivQB3+G9GNfVrrV5j/DE3FVgji1tpTQo09b7LDF3sDoIwbJhDmTUbCZmC6nG+ErWFDLt6ED2F5aOI+Hm3p/o7jgfxCAGMYhB/LEwUDXgj73btxrwtx++tBrwy+YDzoTepXvndpuzk/lvqe4YbbEswKRR7/jgTXR88CYyUlbizHdFokQjVT9sQdUPW/gzQr9kaUKSM98V4cx3RdAVnEJGykoR/6yhuhKG6kruky6FJb9UTW7OgBe+ARK8Lblr9ET4Xrp37kVzfltCT8tjfcq0h9KkTQzCcSQdk8ynmZUnRF8mGxLWq3jthm4L32Vf/a/Le1oDh3EqQilCF9/ChW9rnL2W2l0dHC+aM/2ReMkSusObr3f1EP0u5aDvq3HZU47jrupusQ0barF071zuLy5FV2uoyI87xLJbGqtbT+trC13lVWBrak9QsWET/7+0nYRrtC2/XlvvZMmnegLWLz0Z+935bltJsHqL7vo796Vf9EDhMb8cicF6g77eM3+vMOgNffpzqXHZNeBCujspL6YUttKGtw65CgDgfOEU8sIXIGrzK6Lr/P72NhN7iE4LADAoKf2o9rdskX/4bLvtUNSR2fls5FyEbFoBZVgYPevqhqKPyBQfNCkO5fOfwPFq4gJObVyDfUPuwrifnha/24iy6GlQdlIKVUeNGiWKKJ7BbubqKPzwuqPoe22BmfHaXXzEQZjhC0RZ8fLCF8DFjiKGwwp2YI3hPsz4jLishzz2V9GhoDkoFsod6y3WfZPbElzfZNmM2+4fCcdKsU+3zp3cXuwbq83uF5pKtZ4BaHchdx9hezCog+PhUkPc351OKn4vYLmd6sPINL6vcQSmqshn3bXqLDRuvqjxIM71I1VDuVlcdeJnqOOnmplULXLgnsyFcngc/7bTXpMAAFsOuwMgV4LPZKQxuHnIfvxtfTj/Tmm/MFMzAHxwfAye9PqML761jXLcFHIQqhLzDYNpypn/qG/hL6KyM1JWIulncumxU9fj342L8Tf3tWblsLKUHcQ37VB9ntcLAFKL3zLFVRjnDWubSocwhG56nY+RkxHzsXYr8UD7+DnhSa/P+Pg843E1YgtNfqjqkAQUK4jvPK7oh27Tx2lyc3B41mu45sLXXd7L6mqpD7vyzdXk5iB94lsAwK0mQvcpwBRgKfP175Y5XfpeQ20VStJ+hudzLwMAMpvGwk/VDpXCxG3L+pM/12LU+LiYa2o0PuRapawxBegCxjHcQetNcVwqDJBxlzPpt87r+Ja7q7B3CssR8pifG3kT/FrPAQA65Qqoio5AX0nrZf6URxGsK4LjdsrVcC71HxhWmCaubzfjJLZ6LsHcestrzvmo68y+Ze5uCg7e+XAh1EY+fqHbV3dgK5ags7gIdqHhor9J1wvmwud1Lrvb77RUDnPn66sMp31FgWtrXgGX37pozVLLgtKlHOEZKSs5i5m07mXR0xB0Rpxp+EpBTyyo0r1JiIGqAX/0HXWflvfOo6o+La8rDJggTAZrE7h47QZ4LqcslheeeBJvjluPD6L+CwBoLymDw3TS1h6480VM/PBR/hxb5A1GtgJlYCD3Db3h6XbsfKgAemcSLHZPX879ZCuy8xH4+CPQ/0yuGPJrr0OR5zj4f0zBnvKFD0F1PJPeUVkJZUws9gXdDQCYdOEr6MuKoWtopPrO/ztUnZSgRLX5E2ga1JDJyW/W3tUFMrkMbZXkZ6tKuR7y1iaLbcYWFbYon63z5MKbQ/o67ncJAK7HdqF55HRROzImip0PFaAqYiL8CvebvSPNfQnmyLagY9uPAIDzd66wOinZIsyED5lBD/uGKp7VNOjMbrP+tOZP2J2NgbFuXFW/r0dWBDYGOuoaobr2Wqj37AEAlB8pguc7/weABFihH+jG8gm4p9PkJiWsn8Y3FMrqYtEh0bXyNGRaDX8fK6fJyVe0eEsPlmwMsmst//4XTzTT8ssvcPDzESXmkWpv2HvsfvgUv7yUibGPkx+wnYMSB14jxpAZm58SJSwRojv0kMJreeELIJPRkhGsOQvDl+/BzokOjPqb7uP+zSHaAhENZevcRdhVk4iC8zQPZXLww7alYGihBuidf2bxNuoKIl/evL1YevxO01gzGFA2jBLS7CyIwCLDJ93muxcGFEvvTXNfgkgvmt8XKyhZmwdtRw6j7ra/I7DcmLymuQGAWIhlbCPpGlrf2NpQrIhG3G8fU0Ee3pZfbFwfpUHs6uB4tL5DBzn/m1JhqK2CzNvEJNThSwoJdnCTgtcvfiRW1RIj0ZNen8FQW4WqzANU7szJ0JSWoiCFEpkJ1zVV6Qk07NyNw2/T7zM2PyVKFpSRshLrn84EQGuKJjcHF37JAwC4h/rA87oZ/Duk/Pqt5TWwW/wwf4/Q/18Zl8AZk2ytNWxNFsYydVf41Jeehzw4rFv39lViloyUlYi6cSjC7r3V7JpUaLWVsKenfOuWhDtbBzC+Zkv88i8WluSLgcAdf6kS8fQWA1UAf/hty7JSb/HuY25d39SHuOwa8N6gOSgWrmV5Fq9JtTYN/3oJp789yzfNnvrUsoVVyGQivfZ7SlbT17jS2UAuOTo7zYSg7qC3m8iVkBRKiCs5BmEQgxjEIK5EDFQB/KG3Gvu0vNWPu/dpeV3hsvOAdxdCP7gDoxYDIBOuoZa0E3pXD+hdPbgwUXj/Iyi8/xF4/OMFjHzQ5PPoM9bDzK+uLHoa19pKcc0LSbjmhSRUL3jEzPeS8ZCrg+Mt+pXpPPyg8/Az56o9mdut77wY9JefmyU+ZwZ1iLlgJPSv7y6s+f2djJiPkxHzOUdyd/wDhbyzF+P/J+z7npbREz/GjPlv8v9LOaRtofmlr0S/S8eRkKNZCKFbV3e/S9j2DTt394ufqjVcjPAtjN+4nLDmx20LeeELel1vYd/Ymr99jZ5+45WMSzkHBjGIQfw+MGAEcHVwPIrXbhAlJREmvvBc/pJo8zz/6bfQVlRCW0FBkLoDWdAdyOJa6ZpDDag51ICDiQtx7INj0ObnQZufh+G3XMPfyV0ljqYh6Ki5f6I6OB72zk6wd3aCX20+Hh+62bTQyuQoSHkOBSnPwSF9HRpOF5sSDbS1wFBbBf2+DPqZvgBoqAUaaqn+ej2/t7O4iL7rZC40J3N7pMXU5OZwIZ+jrgaoq4GdytVM8BO2rTBBjRAsiKnzXCE6zxWaXRe6AjABkSVxca08A8CUcEHn4cfbiwnCQuHNWqCJNY1spPo3RKp/Q2zeVzypkCUIN/4QbQHaDh1C2yHyA1eGhfFxVLx2A8UEtJPPbfO+/fxaWfQ0nlAkL3yBiFpMGWV0CZHJAZmcj10hqiImoipiIgCI6sniDYQQJgNiBzp1cDx2LfmMxoWxTlrPAFMAsPHgyfo/9iT5J6tDEiwehO5tfoYfhqwmXrECoeAqPNCw/weMi0HAuBhKVuOkgt5JZfFZnYcfLkQl4UJUkqiP9g25S9TWS/fO5YmwzMZIQ63F9rOW5EP4fU1FF/ic3TfkLtF9loQnacAm+47SKHJjaQoZiaaQkTgZMb9HwacPjjjMqSelYP0KQFTH2KKNKEh5zuw9wjWRJT2StltFTiW/79Fnp4jex8pi14VlM4pLITS5OVzZAYCvW6wOwvow+kKA1lp28GDXm/ftF805YR/aak9bgm7x2g1o3JWJxl2ZoiBCs7KaGnokMO8NvNvmdWEQM2D9QCush6X3C/tBGFDaV4cZW0GvPTng/Z4OG9a+m41BrVdgt8vqSaIh4Ry9FIHrv0cMBmH2EhfjgmLLjYSZ1Es+/x4AELLwJpHZ2pIJmy1uQiGLQXeWhMoLWUcRuvgWEV1bb11QBoLPWVcYKME0fQk2bgbyt10q2kEpBnKbCDFQXFAGmo/mIAYxiEH0FwaqC8qfVzX0aXnvP+nRp+V1hcumAWeny5q07ahJ2w6A0ncLNWbsh6XrZmBCFPvR5OZA6x0ErXcQnJqrkBe+AM4+Kjj7qFC/IwPa5lZOeSVTKLiGyFBbBa1nANdIMUpBRmHVGJqI0zOfxOmZTyLwbw9j5uooBF4dh8CrKfNf4l8SkfiXRK6hyAq4G1kBpCnJC1/Atb/q4HiuadV5+HFtofCb2O/C9OjWYIm6UZObg4YwEz2jpZN4adR0rr1Lc18CnbsvdO6+FlNFq/L2QpVnnvbbFqR1ZtpMaxRpwr9L6eykqIycjPKoqSiPouQyXZnxWUrnmaujUL8jA/U7MtCadRJorOf0kDNXR6E+bAzqw8ZA6xWI5n37uVvTZg+x5lWorWCHMiHa/SNFdWL/1zupzDQdwnaSpqJnkfgAcCYyBTAmTmHzQOpGofEJ5uwXQteclgMHuEaxeO0G5Ay9SVRfNjYNtVXQ5OZAdTyTBxULoXdSAVoN/RjBxlGa+xIce/EjXp89AfeIUtEzTR4b18VRs7DZYwk2eyzB06dvw8zVUZi5Oorap6kBMBjoB+KxJO1n6di25qqjc/c1azPeJlGzrGvZQfMpZ+hNvN3S3Jfw+qqDKTkVmhroByb3KAZrc1i4bjWGJkJXcEqUij7NfQm3YghpFJnriKGqHIaqcl534XuYK91a3Ic09yVoDE1EY2giarfu4GWfGHqjRXc71j5CFxU2JoXv0BUV8Htzw2/g665UA54XvoD6TdCnrA6MnpS1Hytbuqaz8WNrnp+NnCu6l33DzNVRMFSVi6gnRXNYaDWEmKKSfUt305YL683/ZuxDKRWrcM0TWjv434zUtgxsvNqipRNaaYRtbGnd1XoFirTX0jEkhTXtcKfKciZga2X1RLu+FiZhryfPCdvIWt+xOW1J+2xrzlp7j606dIWnT99mZhHua9revqSSHETf47JpwAsXp2DIHTfw33sSDHboqfcwduVfRVo7a8F+Uo2Z8Pe+SkV/4l8fQxXgBt/lFMXfKVfwSHoGVlfXIz9h171f8JTxMGYRtMREsXTvXFH2LlZ34YIgpM0TtkNH8h02qbesaRJZm2Qt2wbAMuMDK1OqrRUyULC6Ca0E0ndK+1zYn9JvVAfHiziylbHG68b2s4W+SEWv8PODzNef/60nqdKvRFirvzrYRFn48A9x+Lfdc3C5hty6LlcqeumcHkxFP4i+BFuL+isVPVMquLbX9ksq+kiv+j6jMZTC0l7UH5BSbPY3BlPRizFQNeAPrqjv0/I+WGb5YNlfGFA0hJpcMfeuEMVrNyBwIt2/5/FNXKADKN38jK/+RPf9sBMB42JQkZ3PnxW6ewhP/57LX4JjWz0Me7bzvymMKXs1FZVwSBghEmhVZXkoXrOelym85pC+jgufbUo3+GR9g5YJpIFwSF8HZUgIACDjzo+QcF8c2htbRXVj2pCStJ95mmVLrCuMUg4AahrkWCL7hLedUDiXchaze9jfDoXcjrEl30AKJvRber676A13bXcEIOZTbYk+UQhhenfnvZugUxN3MqN+rMsjPnFNSwcCniRayXTNDKQ2rhH3t7UNpakButBhsK8nTVVG6iqMP/o5T4PM6NAYRN/V3ATN+fP8byJteOUE+CdfRZp6ACPfmQvfERGwc1Dycjg/t3F+sPcUpDwnau+Sz79HyEKT1nvm6ihsnfaDWX0yUlYi+uZwszFnSfMkTRkOwGyeMUpPRqXZcoCo5hhtXHfA3tFbgdiaO43wm6Tpzm2NP2kGVcbXzspLn/gWUkv+TTe7eXRZP6bRTf96n016RSH/cHcOdNJ7WH3rX32BW+3m7Lze4jstla85mQvo9aK/nYyYj+GFP9p8TvidwjT2lt4nhLW1SpObI1IICF34pEoAocBbk7YdPqmzzd7TG/QFW1BX7mW23tHV+tgfB8grwVVyoOP3ohAYqAL4A6/X9Wl5Hz7t1afldYUrygdcurEKKQK74gu1tVEwc6R+X4bVjcJWmvrg5Gsgs7ODzE8crMHqF31zuGghE05KTW4OKrLz+fXLTQvHJv5Apli0lTDAEmylWbfl/385II1XyFq2rdt9cLnHDnDlaP4H2gbXF5AefIXm5/6ax9Z4/S8Xfo/9+kfDoPZ54GFQAO8fXFYNeEfyHdys15p1Es5ThnPtn1AbyRbUjpzjAIC9z2znCXMAckdgzA8OP60H9HquMWFg92ct24bEvyQCADxvvAEdHoFoeo+0V54xQ01lGjUvRTuOAACGzhgJu2uvg35fBr/OBLuAcTEi1wuAzJUzvn8EAJBx039E9c1ato37+jp0NEGm08Cw9yezNmKJdTLVlFUtSZWNTPU4nlBF+M6DiQvhefwQRv22GgDQPHI6MtXjeEILKZ74JhSP3UOa1RBtAWfqqGlTYdKvL0Hu7AQAOHX1A4gp3MQPP6dk8VxzLg1qPJi4EK1ZJ6Fy1AEAxih+E7uNCAT7psx8zPQ4KHKvER6iLGkOROZOY3ZIdUiCRU2nsG1YHdjf2O/lB06i5RXKqCiTGRCZ9ip/JmPym5hTv5ZnHtQMjYWyupiXX5j6LII0hbw8ZUgI136qg+PR6EiHOs+2criUneTl6p1UlETFyPWdH3E9YgoptXZe+AI03zgTw9d/wNtz3FPXwC2RxnbZmBvgu4n6VzmcNJoNO0lDevjtbEx4ZjLqzpQBANdoA+AHPDafauY/DL8a4tHX78uAcuRooIoyGMLLR8RFrg6Oh+uxXQCAB04uxpu3F/NyDTI7OG7/ks+1+JOb4LnpfQBAW2Ut5AsfglMzWXa6Spwk7LMnvglF6jx/pG0hC8M/F9bDt/AXqm9ZMeRBocRAAwAGPTJSViLuJLEYBZzNMq0bERHoKDiLvc+QhWvya7NxKHkFfaZjM4I1Z/ncSr3wLuDiKjrkC4XLNPclSG36jL8TAE9ek+Z1P6K9iZ3lTK13lxovqauVdPwKxzmzqnw4fC1krm6AgzmLjvQ55nom1DKf3EDtN/LFpWZ1AARZPX38oMmjvzGLC1tvpO5vAKA6fwwAoMnPE11n7nBNRRcAAA4PPsGfKVFEYch/TcnSPGZOE1lWhNYJ9neWqMx9ehIyUlby9dSgN/D+bc06idTGNbiwjiw9vmOGQzEsxuL3MkGdWZSS9z9uU4kj7Sfh2BBqtrMC7saUii/NngdA2UgF/ZcXvgB5lV5I9jpoak/jO1iGXD4+6z62mR/A2sFDk5sD3aybYf/Td6ZqSNbGh+qXAYDI3bGrchl4+ykzUOA6mmegtmStu5LQV0HWgxrw/sWf/mXOinUx+O8/rCQq6ydcURpwBlu+x73RALLASYsLpzGFM1s4hdpUobuCy4GtJBhYgTAL5aVAbycw22ia95Gbh+ukiX1dtYuGJQ24LRYPdjizlNL9cmvAV9UtEr1buNH3ZPFWhyRY/L7uor9YUK7kTXigQyoU9nXa8u5gUAMuxqD2dhC/RwxUAfz+f9b0aXkfP+vTp+V1BftL+jYB2Ibf8C9KL+8/ZhiUgYHIWPgpAGNK31O/0r1XXQ17XTv2j13Kn+88V4jMh0yn+qSrrwVADBX5M5ahMv5qAMDQuUE4t7XMpHFOX4f22gYAgNuUyYC6EVMa3gFA6epL0n4GAPglRsExNAStZ0nL6TzhGmi8g+AVHQSAUjB3tpLmonPtu2gCUHA1HQrGHlsNXUQs15bnz30JO+8zClnNnajd8ys8R1xF79TrYecfCEOzMaVqYCg2O9FhIrVxjZnvbpr7Eni5ECPFpPz3oI6dDABwqSnCS6fm4zntC3Tv0HCzDZoxoKw7GIK7xp9HUSt9S4hzFZo7iW89tmgjDLVVcB5KQS/FUbMQWvCTRQGN+Rm3BdDhwl7TAkVdOecYH+GUj9/iye1jyoHVUFYXc2aHB7dPxIuLWzGkIJP6ODgeji00mRT1FZBCeMiK2vwKjs6lcZN4/juzeqmD402ao6bP4JhBh6aMxzdh+meLoTf6hHe2tWFGMnGA65r88PPkv2Pii9RGv8z5DyZnPsljErxcNJh0gZLdZKSsRGvWScxyoLprlS5w+XULTyutDo6HRuEMAPCoPYutsuu5ANoaOAyddkpe33ljGqHWUtueRDxivv4rDHE0NqZmLoY+aih2P0hxB0NPZiJsB43Vtqk3UBltLfTRX7+PFqWC+7m31zahucIUoOK5/CWTX39sPKCmDGI1ew7AZ85MruWGtx8gtwP0xtTkbS3QN1A5pyb9FYGdJeiU07Kx/mQ87j/7N64BH3/0czi2kkZiz8S/Ycbmp3j6dmx+CoWRc3CgZAh966k2LG99BgCwb9oqTDv/PtTR5Cd+XD8SI+THcM6e2uGnoyo87rGWty0AuP5Gc0vm6w/U1SAtnIKapZazjJSViLmDxqdvYjRvj1PzXsTwhixsM8yj54pWAV4+onG+w3sxAGDlS3vx6LNTTJrghERT+wDIDb8B1a2uAMjqYy2ImP1f603zbq/dDOjHx2PGVmoH6DtFKe+n7n0Df9k8FgBw2+tJGH/0c24xHH/0c7KG5ZpiNUJ0ZwEA3zreBycHPVIryFrSlH0Ejt4eAEzaZTNNtvHwluZxL/9OJM1DsVsCIsqzAJBfvzY/D4rh9Oz5yJl4v/g9qrpjPDqdVLDTksJCb6dAgfc1GLKW+qV98TIcV1P7+zm3YETeWmjOFfG6G5SO6PAgF748x3EYfZ7GvMYvDNizDRUHyGITuvgWdOQch8KLvkfm6IjSLVQ/w8sfwD/nuCg2SMgqJDPoeQZlqetf3dBxuACK04k7/AFk3n6cHUpZXYxNbksw+xeTJUAIbX4e2meKU7uzOjxUvwyp8yh4e192K8aPcsGNLbTHGaoreWC39LmClOcQtfkVNM+7l9rP3oWvlVKwg7pQm8+02u+lHkG7iw+f++21DXD09jCzBgLGdUEQ1G6orUL7+RI4jR5j9k59eSnkgcEiKwurM2sj4eHbUF0JbVWVxfaT4jPZfVhkEMc2dQdSggBmERGCBXOma2fxa9yqxnSRxjawppSwpRjZG3g3JpdbsYBIsCz/ViyfSePRIX0d32uAQYXFHwVXlAacuS+Memg0vGbPFE1wqbtK0x5alN2unYLzn36LsHtvtVBi999pyYfy/KffAgBaXvka5XET+T1SwVc6YdniD1j2Sx4IYEl47IZGXFQ5+gpyiZAHBF10nRh6sigL723NPgjnceNFY+ViNLS90Rp3VffqH7fCdz5pFbsKIhNaghp3ZcJ9ehK/VvbV/xB0143dqlPx2g048x0JQ6y8roLkLMGSJepK8Qkf6Ljcmt2+xu/tewYxiN8zBqoG/L5Xqvu0vE+e8+3T8rrCgMmE2R2w1O/usZEA6KTPtTVGMBcR14hQuEaQBiNwwnB+PSNlpRnfp5B/WsSxLBBCmNZK+GzB/86h4H/n+KlfCmFZUjS/9JUofbgtDuxLCcaD2zr5erROvv6iy9PV1kFX27eBElJ/e1soSHmOt63jFDH/8cW2N+MT7wm6EjqO/9dU3rEPj1vkCmYQHgoPvXVQdE2o7bUFTW4OQhffghF/iseIP5nmBMuaqYxLQNaybWYxFZagjEswa5OK7HwRU8rlRlcc+wMVigD/Lutt69tYBtKLRV+1XU+Eb+kaamveSnMrXCrYWuuvVPyesl32JwbCvv1HxWAmzF7iYjTgU1bM6fYC3tvMgkyLLdWAS83bDGMeGwePmeYJLoA/dta8QQ1o7zGoJewb9JbR50rzXx/0ARdjcP4MYhB9g4GqAb/3JdvB/T3Fpy/4dX2TEXv27MGqVatw+PBhlJeX44cffsCCBQt69L7L5gPeU6S5L0HqZvHf+opmi2WG8934H75gO6SvAySLd174AkQJtBwsEr+9ug4N56rgISmXaRBmPyF2v8hIWcl9E20ly+lvMOFY6AvJ0Bc0hD3RCPWUQu+PINhbYzWwdb2v0VXypL5EbwXergSt3o7hnrCZ9De60+5SwZuxRjkkjOi3dw5EwZvh97w2DGIQgwD0l0d/DABoaWnByJEjsWTJEtx0001dP2ABA1oDbk3IqoqY2GUyFqYNKo+biGuOfALnC6cAEBtJT5hIOD2XhWAZu2uSAABl//kAr0atMduMrG3QliLlL4UmqTvvkKYv7kl9mCB0sd/SX0wCzBIxkLV25VFTEVhAgcCsHbormP7gei+2bacA1u5+G7MQCQPOLhek893Sdw8ErvP+RH+N/T/CgfVSYVCzPog/GgaqBnzR8+aEDReDz14O6NVzMpmsVxrwAS2ACyGknmNCg9A/VuYtNh0wDe6Rz3Px55MPmOj0DAaz9OW2qOiEWuL1128W3SPkAUfSvG4LL5ciw5ilTaInGjt9GX2LLWpFKXpKD9hb9JZyT8pbPhAFOanLVG9dqC4VLmYsX8lC4aV2K+tp8ilA3L62klENYhCDGIQtDArgtnHFCeBbFFdhxuaneuXqwBIxSBPR9LScvtJkqIPjcTBxIXcrEVKFARAlzwHME+gI7xWm4Lam7bMUXKTKzcKFMTfgcHU4AEra49xYhlZ3cn+xRNOX0kpBoDKthl9buncuPhj6Plqunmcqu/QEmkJGAgD+vi7IpKEzHmaEfOhPfBPKk7U4pK8TUdSx5BwAUYStfzqTl8XakMFSP3KBQkBXaa2/+yyTZ1MDvbukRJQQqrdm/e7gzfrFAIAnPNf26Lm+EtZtaZmlY88hfd1FcfCLYEx6pL7qanFZMjlPfsPqJjpEye2gHjK8yzqI6CmvEL/uQfQvunsIlM4Ja4f4I6G3YnTxt91+P6Ny7S+wdbW/DvGsHYT71iB+fxioAvjC58r7tLz/LvdCR0eH6G8ODg5wcHCw+dwVJ4B3pQFfVbcI88YQV7FU83PoqfcwduVfxT7gxqyTLGHOiX99DAC4atVy/Hbvcox/8yEAQOX3afC/KZW/40nPtchIXQUAmL5mEXc1kQZhTv/pRZSHjIdu+V8BkCaJXRv39wnQtnbg5H0kRI+0OwqnzO/x82M/Ut2+XoqMOz8CQH7j9h7ukLt7AADyEkjo5PypQUMAD9vZmISLP7MCMAsAo0Ys+N85s0VX50H32DdUYaPqXixQf2pWNqOSY8KwNOBVeGiRbkpMAKyOuAYAKHshE+4VSpvf1J3DUKfKEwBg11SHNA/ix7UkSEmT2zCcefdLRD98t0gbaC3Idu7uG6y6KjXv2w/XSRO7tXkbqitxcvwD3dZesrIB0i4HzxzP+cUBcR+yewBi1Yna/AoUvpRIQOYXKCrXluuV8PAjHTOGqnKzstj4K1FEdfldLQcOAABcJkwwu2Z2SJLw8Arf15VgzTK5Cutj65u7M96ELjDCstj4YteTVNndPnxocnNQkPIcr6v024T1Emq99Y4ukLe3mPW/EFKf73MfE5e2q787VEOJf/15xatYEWMuILKMqnaLH+b1sXSgywtfgLN1nrxdGNh3SANBrR2Ei9du4Nla+0tw6y/rUX+5oFxp7lVXWn17i95Yn35vGKgC+N3PXujT8qIUH+Gll14S/e2FF17Aiy++aPO5350AbguWzL/W/EdHvkP+vsz0anHRsLLxA6YN5Np9b5kliBFuLsJyu+IBt1SHYy+SgM5SRV9u9EaDfLFuL/0N3g/GNOaaE8fQMftOAIDD9q97vKn2xoWiq81bKDR05ByHwscL8sDgLsuVuoJ0V0hg9/WFO4hwnLNyB10f+gbd6c+BNNcGMYhB/H7wRxHAP3nee1ADbg22aAgvZvOx9CwTkqUChKGKTB4yv0Dozp4BAOjb22Hv5WlVUGr3j4Rj5dke12sQlvG71kgI3C0G0Tf4o9AQQm5H/wqydPY3BnJA82Cw5CAG0TcYqAL4Xc+U9Wl5X73Wu4SBvRXAB0wiHqlv6aq6RcgLX8BNmkKwRfXE0BtxYuiNUAfHwyF9nSitbuOuTDTuyoQmNweV36fxJBXC9+wNvBsA4PLrFrj8usVivQLGxSBgXAw0uTnYG3g3ZH6BkPkFQh0cjwtZR3Eh6yiU8SMhDwzm9dV5+JErh28YOnzDsLEhCVrPAGg9ycFfSCUn/UZmYrYFa+0i/BvLBCqEMBmHpeeFKF67AcVrN9ikEpT2GbtXVL/OTvrpQ8Se+BJp7ku4gGQLncVFZn/TV5RBX1GGuu07eQINVveeJGqxlXyDXZP2lTDJk6Vni9esN/1/7QazfpKWVxY9DWXR01C/I0N0vacUkKy/pbD0/qqIiaiKmGh2Lc19CW8/9n596XnoS8+L7rHWb9JvW1W3iAdId1V/S3OCfc+MzU+Jgm8toSfttXTvXP4d7Jt7i54+a2t8qocM577wUuid3aB3dutyznRVn7zwBaI+/GjyVnw0eSt/ztraJEV/Ja0R1l8+aUa37u/LhD2/t2Q8AwXdHVddldFdSPfoQQxMGAyGPv3pCZqbm3H06FEcPXoUAFBUVISjR4+iuLj7TGIDSgO+qm4RHhxxGABQ4xiMwpjpAICxx7+Ge/FRk5k8aAgy7jY9P/7o51DlEy1hxu0fYNyxr5A98i4AwLBbI+EVPQR/6yQf64/Gfo80/78AAEb7ncORqqFIaSehR9bewt1QpL7QE35bi8fXDxVpelh9Ots64DR+AvLCyLc8tmgjcYYb/brlk2bA7gzdq62qgiLAH6UTyPXBo70CGoUzvIsok+HHnffitjD6vyVtflfaX+6X6nYIqpIckfavw5d8iR2qz4vq35F8hyh1eHddEsxcaSwwzHDh287O7Hkh5Zo6OB5OWfRdbVMWmH37hagkDDli/G6FAifjqP2GF/5osW6cvWb+4/BsJ6vFwcSFWP90Jla2PwkAKLz3fSRW0cGrxSdc9M6TEfMxvPBHi8lNLGnWpP2yxkAagyWyT2z2WZr7EiSpsgEAv+lGQTs2gWtqLfmwsv6c9vFdkAeIT+vqkAQ4NlNqXkV9Bc/eqqgts8raYaitgraiEq3lNQBglkyqU+UJg50CAHDacyJiizZyH/9SXTBGFZuEduF4WFW3CLdtSuGWI0v+2D+4kh//Dc0Ui9AWQH7cThXWaULT3Jcg0qte1J4GB2ecHHIdgO4noZFavSyxuQg14KvqFuFPo2hMeZw/AgCojJwMAHDuaLgot4+coRSEd67eDamNa0QbPvuekqiZCCnYiU43ig+xa6o1K0c6Z9lh2+fHd6FMSKRvUi3k3yT8ThYk3jp3Ef8+5ncuREbKSkw6+D4AoEEVDL/yYwAAXfY+dCTfwZUgyrgE7Am4B2PsDgEAXMpOdllfa7AUr8L6T5pHQZObg/3TjZbSAy/hwkxy6Qsp2GnzHT2BpXkpHU+95rS3QgdqLa6lp+grv+2uCAJ6+o5LZW1ic2JIQSb/W1eWkv6yuF5JCfoGqgb8zqdL+7S8r1/v2t2TITMzE9OmmSdfXLRoEdauXdutMi6bAF6dewDHOhMxfucyAED6xLfgPGU4WrNooXaeMhzR+T8BAELP7IAmzzShs5Ztw5QDq6G8QBt1Z1kpGqbdDgDwLjyA5uA4HBi1mN8/ZcUcyJ2dAAAdFdVQuLlafCfzFweA4FkT0DJhroiZAwAS7ouj/zzxT3ikfSiqk5DJpO76vyAg+wcAgHpEEt+YOmfcgP1jl5ru/Wk97D09IJOTMULmF8gXo5oGOZbIPsFuP6rDWOUROHQ0YYeWNDvzzrwObRUFY5UfOInjf9uGuTnPAwBaJ6biu5IJuDmEguCKFdEI1ZLLzAn9CAxzKEC7vQsAoKnTjQuyZdHT4Fd3GnuueRQAMHXvG2hz9ePsEYBpkWw7chhFN72CYfV0+LGvKYN66ChUO4QAAHJrAvjGroyNhybvBPe5zmwai0ivemw57A4AmDayA6NrSRjXZe9D+sS3MNrvHADg53MRuFP7CaoiKDjRI+1DzrxRrIhGXNEPOBeVDAAYWpCOvPAFCNWcBgA4NZUjc+ozvO5TVszhzCzT05ej2X8YAMC5sQyZU58RMdckqbKRB1qYVYo2Hnw2w2U/Ou2U0MkpsFRr5wCPtA/xVezbAIBf9pXjnZvp/fvHLhVt1urgeBzrTMQvuXQgeXDEYZyRxwIAovV5OJi4UDQHxh/9nI+djuQ7oCogYV1ztgCKAH/sWrSWf1dFdj5UQ7zo3sYWFP9Km3jivVOhjEvg1pU2Vz9+UHLY8Q3s3VTQNVDAszIuQaQRdK0qgKyGYh866+ogj45BZSgFVJ5tC8UI+TF+r0P6OjxUT/P5tteTRHWXTZ6F7fo5/LDxS9tYuDho+bNxn9+PxgdfAwD8c609nl2sQ3Mnjc9Q7Rkc1xMLz7ifnkZH8h1w3rsJALB15CsiofVsnScmeuXSt2hbkakeB+cppBW++rc10MtMB0FLjENMqPY/u1fEif/m7cWc+lKTdwLZs17HpAvEIpSRshLD8ncAAI5WhyC1cQ3UIcZxU3wckMmgd3YDAHyjvQW3uqQBALYZ5tFBOddorXLzgCY3h49Pqasds/QBgP24STjiPRcJ7b/Qt1SfF923/vx43JP3GNW3oQlOgb4AgDPXPYWCWi/eD21KNzhpmkTWQ3t3qqvczR11I2bB49eNAIDyKXcjsOQg5FVk9s0buRghWlqDnZvKYddYg3b/CACAY3EeBcRrjP6UDo6iAz9rf4DWzhmbn+LX5ZNm8CBT9s18zn62GC35BTjw2l4AQPTN4TjzHVm5mCJGHUPrhPbjt6G4n9pAGmTMmIw4Ba3T/0FTWAgAUAT4o3nkdB7YG6ItQIF8OOK20dqaPet1nC6jYP+bQw7AIX0d7MdcTXVvb8Eaw3346j3i8v/6LT+caQ/nbdupl+Paii/o/8VF2JrwMtK2UK6J1Hn+fL0sm/8kPtzqjn8l0nfvnr5ctI4IhbfmoFg0OvvDvZXK0ShcoNC1ATCtY8KDUVHUbFxopYPcpAtf2WQyKfn8exx9mDLgWYpjYnuVl4sGdS1KXPPlbQCANZPWcWWaqvQEIJMjb+j1AOhQmea+BNd8RXu2T0oyLzcvfAFKmzzQoZOJys0vMrnlMXIGYVmAOBiaBZavfzoTALiVxlKAMVO2sTYqSHkOWw6749bxpLg5Xm1SdKQ2rsGhkNvhoqD2jUx7FdmzXkddi9KsDgApYoYFtfO2Xrp3LqJjaS7KZTIsTaADqmNrLdqdvfk+y8qxdiBbuncuZxsTMo+xPon0qhe1DxtjUlcxS4d9SxioAvgdT/Vt3op1K7tPu9wXGFAa8J6CaQMnPDOZL8hSNovzu44h+uG7u1WevqKMaxWlGnApjZ5QS1yw5RCCx0dAdjcxpOQhAaN+Wo6S3UcBACFTR3BzqH5fBpRhYXyTkGpwuqOh6I6WwVI5wueEm7k0E6YtVgyb6OwE7OzEC3qgkUHDy6fLbxrMhGkbQk3N5fJv7W4/Xcr6Xc62AAZOJkwptPl5AABFTGyv5suVznIx0Dn0r3Rc6eNjEN3HQBXAb/v7+a5v6gHWvxHW9U19iCtSABcKjwBtKtK09GxzlHKg9pSpg/mRHnt0q4jLGwDXyszY/BQqNmxCwC10wtd5+IlowsqipyHozG7+u66oAPbhUaKyGA1YU2lNnzBGXOzmU5O2HQDgkzq728+wthW2py3atJ7ClpnSWjAYO0gx1L/6Am9fW4Jbbw5ClupgiT+4u5tW7dYd8J57ndXxKZwH0u/oKQuKtUBFYX17w8TRvI+sIzwR1hWI7piKOUWmur7b5fY0K29XsMY405P3SDNxCvvcUpbOizkIS/2lpXSnlsplmj9r4/5KwmCQaO8gtEwNxODf3yMGBfD+wWUTwBvfeBSaOXf2StPKEvEwCAWsnpzIpVzfvRVYLSUGAiByHZD+Xfo3aUIeSziYuND6d5/6FWlDHsZsOxKc252tc4lnqsdhrn4j7JrJlKcOiuXX8pCAWOTAtZJcKJiLhurUrwAAzbkiU+KVvL1Qx04WfVf6xLdE72Lmf+l3qfL2YmvY3zDFJdusfrUvPoecJ7ZzMzn7dmGiI9YOUnM2QAejyAU0kYbefxv/e282vJYgqr9ix7eXTPvcbOwP17K8Hh2kLnUiHkvj+2I0YtJgOEu0npZiFDJSVvKx0Z+JeP6IVpffOzQnje5Kw+Ns3yc4yJslghKgp1ph4eGuPzTKlpRVfV0+w6A2/PeLgSqA3/rEuT4t79s3h/ZpeV3hsmvA2QRudvSG94+rRUkqhND4hqJtPW2yTv7eaC2vgetNtwIAtE7uPHCrMnIy/M/u5Ztlff45eMYMtSg8aXJzYO/tBV1tHQBxyub6c/UY+eJSUbp54cYPkOsGAHgufwkO6euQee2bAICkPU9AEeAPmTP5sDLfQvYOdXA8XI/tou8eOZ18T78nv1Dfe+6CvLXJZtsVRFKWSid5KwLLyM9O3tqEfUPu4n6pbQFR2Nk2RSRo7BtCgansHqFGWRhsqHdSofR9CnoS8qcDwHH9SP687uwZ2EdGcz81ZG6BMi4BZyNJQ+HXYfKbZT7H7D1vf6GxqSm2BFGCHyMsBc8Jg2baAqJgl/EDv6aMSwDsKahQX3oOLWPJ/9CpuQpynQY1fiT8OmmaRD6OosC/jnbAwVHkamPv4Q55kMl/rN0/EgBQqYpEWMEOq98pTGySX6THk16fQV9Gfm2dLa0o358Dz+WmxAAutXTil7epAVCiHwBoLymFY1gIZMZv05SWcgtN9M3hYhejkASTP7NEoK3Izofn8pdEdWTJnrQVlVDGJaAwkg4/vh0lUJXk8PiMuuv/As1zlBArdPEtNjX0Uhx9/kMov6D6ymQGUXCtsD8t8YtbGzvMn3rs4+OpzRY+xK+dksVjbMk3/Hd9WTHkQaEii410fsSeI79zdVCsOHmObyj30VxjuA9LZN237pnVvb0NcKR4leagWLiW5Vm+zwhhHdv9yNfYsaoIM1dHIfnOSQAgCt7LC1+AYXX7YN9YzZ9PbVxjCoDNP8ATgVk7aNo6iAgFU2vP54UvgOsLdyEkdSoASiKmd3bj654loVT6Tmt1KI2ajuACWlvR1AC4eYjeKx1Hwm+S+tu7/kbMQjJf/34RjntykDcoHSHTtJs9D1juB0sB9gx9aXkR7ocFKc+ZEsrFJYjGZm+VFmws9DRI05K1pqs+tBRwD5gfvv6IGKgC+C1/M2c5uxhs+Hd41zf1Iewv6dskWFW3CNe9SJtE80c/Q5udjyjQBNZPmIIWD4pIVZWeQIeDGxqLadNoLK5G8F/ug7yGgoHs6o9DPXoWAEDzwt+AhTdx4YNwElNW0P8qsvPh3dwKANDe+md4nD+CDqMQlpW4EGMeIw2ZT1wYDA7OPFtb+sS3MFu+DZoGMqkX372S1xXGICFl9kr+Ds/lpqCO9IlviTYUh/R1KDEK70EtLdCom+EZMxQAIK8o5psGi3wXRm7rPPxgJyNmkSG/rkfzSGKKgRfgqWjhdHSeswzwCpoAtYo2xFJlJOpqlbzc28eXwauVslSyewCgNnw8vMqO8+9u9wuHVunCr3s6mFgR9O3tyAtfwAOxVHEJuBCVhI5OJe+34s++o/596SvEFm2Eix21fXRsIPLCF/AgzHnhjQgxBiA7pK/DO4Fv8GCbg0XeWIxP4KYm0n3hgnjs0SUIlRwgztZ5IoptQGGjoWiiFOe1p0rhUV0HR18KVFQGB6NAThruq5w0sN/5PTxAAXG5c15Gmcc4wMLxVB05Fk1OvnBro/HYOeMGVLz+GtZfT4fHB0cc5gFc6BQv/CWKKGypG4PJ8RSAGGZ3AUkqar/IMVEofmEDQhfdTH322XcInJgAxRkKpFVHT4C83ujK4+gEQ20VmkdRbMHJ1x/EsDlNaK8nwdxOaQ+fsR4AgCFTR4m04w7bv4ZmKgnRypAGGGqr+GHyzHdFGL/cRId54e33+HeHLrqZ+ruD6pupHodU2Qn+bHOKN8KfNga8VhRAoWnh1wIgFhSyAu5GrBNZWSoxBBEzsyAzjiOXumKog+NRqqRDTE2rytS/xudD5l0r6hM2Rw5Xh5ssJ8HxmAIKUAaAwPR1yJ3zMgBgZEuWSHhQjJ4AdLRim4EOt6kwbfR/O34Txis9EHWCAk5Lhl6P+iGmg2iLsy/qIsnicrWhBig0d8Vh7zqbuhzRdXSA3GaYhwnKU3AVZLPVnC3g7bS7eQJSkcfrURY9Da4fvgAAcJ+ehLzwBUjSGr+1kQRvANjttxDJd8oweiFpdSsWxSD3M+qH4rT7EBLiD5VRAE9SZUOtEmhJh4bzujt5+EHf0QZ5HQXhqqMncLYpBib022taYN9QhTYlBXCWhC9ALICKDXRoqXvqU7Qb14X4zc+hAkBzHvW/S0Q75D5+aAuj987u2MZdepyaq6DJzeHjyL2yFq5RYdA00DgvWLkG5XvoW2Zsfgrua17GsQxqs5pDDXzMq4PjzQSrhp278ZQjZUFe7Z0r6jNV6QmUTaQgwaAzu/HB8TFYsp8ULG6L78M7p2ne8cNNUwP96+aBVXWLkP71PgDA528Ho6HTg78zRFvAx4TdNUlIk12P2kYKwI8PacFVBtM68cgTJ7B1GikPZFOug6JOnHZbOJ+ErFsNqQ+gxjhfopqPiA7CWcu2YUfmv7DPTayMAawfCIRBjtK4Ic11ZGF0bK5GfYdpnzgZMR8QEPUUpDxn2ickc0L6HVWtKqjbSTTxctFAsz8H+YEUhJmPRWZBmAzCdfbN24uRpha7jgkztUZtfsXMohFTuYvXYcthd1MQKYB0ZjnDCdGel6keh0iveq5EkTI0CWlUn/T6TBSEGRMu5/WTuqlKn+8JA440CJP9DTA/wHQ3CHMQ/YPLrgFnYIF/1kzowkWkNCsHRZtLRW4ILnWkgWJaFKEP+MgHR8ItnFIx67U6OCaOAmD01S4tgL6xgZ4VaDA1J3MBvZ4L8uOPfUHaPhZ4mfIcXF+4i98fMC4G2bNeBwBMPPYWZH6ByJhHv3sdz8aIvSScd6qbUZGdj+CZpJVruXoeXOqKoTtMm3JrWZUZFZwtSDd65k4j1XoCYtq0Y52JmFz+pVl5zJzvuJPSVRs6O80WSDMtkjGzZLtvGByrivikHla/H9pd1H5FN73SdxPcEt2hAELKLmGactcX7hKln5/82mzYTZkJgDSeQoGMpaL/WkEn/zu1pvGqLy+lpEt1RN0HLx8zTby1hc0SpZXU9eKJb2gcrvZcgYrsfDS/RJtk1OZXYEhKAQCccRkDuUzPN930iW9h5DtzOSOEdB7NXB2FH1535L9LNTln3qWxEP3w3WZsAexQ6jFzmmjzgUwGVUkO10bbv/oefH58F4CJ2aL6R9JCuUeFWNWASdvEkvaKoSnzZ7glTbV4TYrfQm9BlP4kd+8SsopIN39LlhQhLKWi7w2kqeilENZDaNFih05bGrimTGLeYO3DxpXdD5+irboBAHBb4V9E2k+zhGNLbuOJoCwJZC1Bw61SClqiL2VzLTB3v2jd0DY1czaq3mhGL3WGVWGfX4wLWlfuXdaunRh6I+LP/a9X7+wu/qg+6da+m80fYdxQV+gJZeEgDeHF4+ZHC7u+qQf47p2IPi2vKwwYARwQ+7CKNKvGEypbnAxV5dh17xeY8TVxvOr9Q9D5G2kJmcDIkn805RdC19YBtwgTlRATqr1zDiJ8zUNwn0QUUk2/HBBtXq7HdqGziQR6e18/NB05BkdvDwBA5eHT0OtIE+31wiuocwhEcBWdmA2//Qr7yGjuSlAz5Xb4lh0FAMg6WqEvPY/SncT13fryF4gp3IS2Q0RHVH+mBEPuuKFbbZjmvgQjfMkKEFawg9qo4hRdrK0C3D1F2fGEwnpp1HSciqEAS0uBdw4/ETd6x6zbrG4KvL+MXN+NP2fBfXqSqBztx29TG82eafNbOo4fhcOIRJv3cGq3MwehOUtjo8sNQ24HTc5RAMbDV3Q0WvNIQ1b5WyH8RpIGr2DbMQy/5Rr+WNX8RxFcsMuilsagUEKm1QCNpGXIS1xiVahuWvEygu66kf+9Nfsgfnkpk/8upSh0yvwe9lFXAQBafvkFSk937Pk70YAJD1X8wLqVNM41P24RB8xKMmqmuS/B1DTi3Xa7dgp3kZHv2ghlXAIaQxMBgPPtz91NY/BT19fQWktWj5glKYBSiRPxiwEAYbrTIprOqXvfQPsWagdtSxs8r5vBgzDrzpQhOPka6OrqzdqTgWmxFz5WatVEbmmcSH3f9wTcAwC4Zs+zAADFMLLmoK6Gs/EUR81CaMFPNrPrskPUlsPumJKgRcsoeq8lJQFz02EuZb3RXLFvYTSUIlq1kASoTuwBPI1sQhayXWpP54u+l41Bw5fvQRVHf5P5+ts84HSeK4TdUNMmZOnAIzLVN5CaUx0/1aobEGDZFUJ4rSs/ZUvsU9J7pcKP5mRul77d1t4BWM+gqis4xefoxaC/BN6ByP5irc/6ElJqwf581x8NA1UAv/GRvgtiB4D//Seq65v6EANKAO8phJP6cvtolX31P+Svo8HANPMGPTWtPGkO2p3IRHUwcSGmfXwX9z0WBpoBlrlYzWDc9ODhLVporPGcMgjvzQ2/AdGbX+a/M5yPug74x/0Iu/fWLr9ZqrFh77S0WXblu9mdzehSLOJSDORU25cLwoNcX272FxPYtsmNTKzXN5lrlC42yHoQgxik3BvEHxmDAnj/4LKlopdSUF2ISkLDzt1WU3Srg+NRk7ad0+M179sPha8PFL4+UEZFc789tokLU4xrcnNEKbJZ2u288AWAViO6p2HnbqIENLpVCFN054UvgDprL/0Yy2I/QXfdiMDc/QjM3c+FQ4eEEXBIGIG//jiS12/GNw9CV1sHzUdvQfPRW7yctndXoO3dFTYFS9YueaPuQ96o+1AWPQ3ySTM4x3iJIgqt2QfRmn1QxJbCUJDyHApSnsOqukWQwYCO5P9v77rDo6rS9zuTZCZt0nuDFFpIQAg1EAg1hhABuyAColjWVVdUdMV1Xdn9CSiKsiuLBVBpNtQEIUogdAKEhYQklIQUUiA9mbQpmfn98c05c++kAYai3vd5eB4yc+fcc0+73/nO973vQ3zjwqR+/Xd9KDa+Td5t1n4dyfK2eoei1TuUGzjsPlrPIGjr1PTPlKjJ7imkkmKfXy26M76FcXfqgAgYbRQw2iigzc4S0VUKn0sdEAEYjfz/TPwoMcEbiQne0Hq0V8gyKu1hVNpDm53FPb0A9VOLTxhafMLatVdV8EioAyKgd/Hicdbsnt+rHm03boVjt9E/XDSOtbnZ5rrXVKEqaReufJuEK98moW73XqROX4HU6StQvOFr7PeZ2+HcKvrsK15n9h1PqgUlRwrrInyeJOcFmLje3NZFYVPRVngRbYV0LKh38RL9tjPkBM+ENjuLz5FDfnNEkulrM6P4/9lcFM5LgAzvuxoo2Yu1LbsmZmUCYlYmtOtrYZ3Y/y3LZZi8Joz/Vji+rhWsDVk7WoYfCet0xG82/79RYYvuwMa5JdhJHEDPIbwHv39TI9DUKKoPmytd9V9pnwko7WMOmePta/odG4PCcaN38ULF9h1oPHQYjYcOi34DQNT37HNNViY0WZn8c1an1OkrsOjgNL6eCMuxbFsh2O/1zp7QO3tCm50Fg50KBjuV+SKjkf4BPB+B/fZ60VWduvqOnbDcSFzPc1muDcKxkuS8gPdlR3MKjQ30r4tyLcfGzYRwrb1aSLL1NxdGg7FH/91s3DIPeMOq59tloR9YshPRf6ekQv3M+fw7VckZwNoGSQ4kqBOxMg7Bix6EvoB2P9Unc2H/HB3FGz5fAztvd27Q2e7+CoW/nITrKopNddy+FhWn6HeM2YRNcKEojj7/AlrGz4JxM8kuy2Y/BVVmGlIfIXaQSckvA3pKpKvdsx8t1Q08dMQycz8lehUStJSMKL9yCdpLlyAbS0mjrQ4eFDbSQsf8SR5PdBkXJvQUC70y18pb3RWrgqVy2q8B6yNL3vOO7ttdPBwP67Dz7DBhpbPfsDCJvveHwjuqL/+uPnERXvucTibWuC5Hy5VqOMeY+KptFFh0cBqix5KQ0HyYT2yajhyB4b7HRaplHakqWv7/auoqLOfKt0mQvfR/aFn6PACg1/13QhNsOklQqkR0jNZRo6DPOCo6Phcex4q4vne9xscui/lXZaZRJdw8iCXG9L3OzRflqz4AQFz4gDiRx2DrgKotZMTXv/gRVm6ksJd/1T0H5ZOLYf39BgDA7knmZE4ASNpxBR/OIgo4ZWXRVTMNsPCfzk5ShOOo+fgxXM4we0hC7p+KkhG0ufT6YXXHYUUdYNHBaSKVQst7ZvW+B5GF37a7f2cQJkQ1+/WDfdk5/l1ntG66szloiJ8PVfKn4jqY6rwofSZXwwMoj4Cd2nRE09jutMEUTqWOGMeNToDWRNFzW9tA7dOvXf06iwHv6JQyTT0c0y8uR1st3dM6rF+75xaGp3Sl5WB5cpY6fQWGv0hKrcffSe/01KOj31nOl2vBddHx1ddSmOBVQJgP0Bk6OiHsKHdAm53F6WIZQwlgzttguJ7TrV9zwtmT6KzuRkHCsyUs50RnJ3I9BeFaYdk+t1t8+O3qAZ/59PkeLe/7//Tt/qIexC1jQVH0D29HUzbpSz9oyynjXllTDHmTiac6MBKq7AOIy3oRAHDgx2JYr5iMQNPu2cahkBtD9quOwS/nEMrCiV1l+Muj0WviYMh3U5KZwcaaJ6oVvvIjRqW+DJXpJZZoY174dSbmDHs/mqjGllqoB8Wiz71k+Gmzs6AIDAQAOPh7wcbBjjK/AfSpOcK9mwyyNjJoDD5BMFwsgMxaSZ9vWwfDpCmQNVAs95SA/UhC15RLzNvz7oPFotCVRbVLRC9hQLx4nNLfAQCIAX0mlO9udy85nQBUhowW0f4JwRYNFpsNwEw7CPKI+lp4D35ypWebViu+X6RnGfSyrkV7WB8PsS3qdnFkRs4oxVn+2fmv8nHqz8mYvJfo6DLDZ+Fdxk+uSYBh03rAQAYkeR/rUFmjp/KCzQuiMn4GdqqHY7zTSfqtkQwFhakuwjrZN5SLYlMt6/1a/oP4Z+hW/nz2Sx7BpGRqT9f+vaHIPwTjjFj6bf9ozseubNNj8BODII+mDWv15xvhHBbIvZ0D5/XnXqeAuNFQB0TwF5LhUgFKUqhPY5bHw7quBLCmpaBu9164DBvEqeisWpvgHWWOd7WktRz+yytw6Use86OVnpg4icaNR+tUoOQM1KaNdKzsBPLl/XDoLLFkuHmpkO9IydD52olI9H9HxDQg5OzenVaH1UOIDaLVPQh2l/OgiBhsantznDsDG9e9jhzB2xFfYl0MnZqhpQlFzbShajCxMrB7xB1+oR11mqXnjRmQGoj72Fqu53OfMT90ZZBFehKbTxIWIE6XajZ4ZTJcsgnrMIlr/4vJiB0+Bs2mOiguZSHJ5VHO+LLO5ieU21Ksdm59Lwwdbs3rMCn5ZahN5bAXu6rUzK6iDoiArSslFKc1DONlKjUNCHBuFAiORQLqOqK0gThPBwERkDdW8DYqs/VHc5sdZyNShEfgsI76+3K1DNr+wyE/lAKAkppVLU1oNbGgwGjkxoh1Fa3VQiMRACZu9KbPpz4A/GzKVzHd+/g76aJnA8iDnVftxsevoncwqpJ28byJSduf530fB9pwVITQZtzrIp1udRrKZDTC+keK9dffJT4dYZs3gMaUMP7eqNXCMpXcMrmUjWVbvR6dgfWpfgqxJxXZ9sd7n9P75r/9rvB1CaD5bW2nFP2etVuMRbkRCwZAdzYHNv2Je0j4vrZ2doI8oL1oSU8Y2UIqz2uJ5RbRV+47iyS5sd177Ync+QCAdx+6xOddp/SepkmTiDPtvuvs3XwthvP5QiPUkTQ+HRxdkGR1dblfEn4/+E3GgF9LvPCvzVbvKobZWGGihZLJIfP07rQsIZ+vBAldwiJ5UsKtw7VyD99q9ITH7lo9lVKOxLVDShD8feP3OCduVw/4jKfOdX/RNeCHj359cvW14JZ5wJmBy14aazOj8GLbCuxZQJ4Eyxhm4RH68JdHo+nnVDj4k8fUysEBbU1N6Aj1e9LgGBKEtGcoBGTMsik4tPQXAMDQZ6NQfDgfTn7klfMfMxB158mD6NI3C1oAcluKvdRmZ6F8xmKo//UJAKAgehViD9CgNBqNOL5gI5QZFKM4+sg/YBw8EobDxCvq2NZGAhsgJcmanAJ4x9Ixqa6iAqlj38VYhxO8zuwFynbT7LnZMbIw9IF7/mMGYNsraVjjSoTnmriHkKEbgthSCpmBtY0otnKK7X4Yd5DnyG7YMFG/AEDLh1SO3Z+XQFVyBhdCif5OZ7DmHrp2x3ym0AVehsIJLkn/BUCsIl4/rOaXdiSgwb4XhnKw5xV6JIVhGsyj1Fl4Ter0FfCfQOPEztUeed8V8nuOfHUsFC4U86kYPBRqn36wbSJP4KJvIvHBvHKRciJrv4ScNyH3DxK9SIXsFcK6qgr/x4V/2DMJBX76uFdDbiIb99UWQL3yLaheIpq6qr8thdFgQOCr5JE76zwG/Xb8XdRupTNeon758xzY2Jnv0yshGvo6OkHSxD2EQut+iMigcKrcYYs4fWHZkRz4jQ7n49w6tA8gk0Nr4ryuysyDRq0BAFz8sRhWx7P4mEpyX4TEonegLSWPbkr0KiQ20UmT2qcfPskehr+0vQMA0JaXi+L8Wbuy9hKGoFh+L0TEyjh4/GOZOERKEJ4m7Kd42Q4YDqXiQhJ5dPsu/yv+lDQUALBudBK0Z3NESqqiMJ3kl7E7rY7KHCL2bH1ttxD3tXxKcdMA1P1GoVRBzCGH8jyxUP4p73/9Z6vhOnWSaCzf4XkJAOBTkw2bhipoT5/kz6Jz88X+6L9QHX5YDFgRi5E2Owun4v6JASZvHFOdZd5qVckZ/H0nvTwWz/JARmUwDx0BIPBiv8zDzACg3tYLzq0VUBWdbtfWqdNXoM+9wSJqS2GYQ0r0KiQmmK6NWdFh3gmDYmAk9M7Ef7xdexdmnHj+qvI+mEjZmfU0t2KWx4s0HiyZgS4+9iwG/30Rb7POjFy2dnGv9+EXUHoom38fvOhB/KeVWIPmhh3jdQGA7OBZuFjjAqB9+BnQXkjIciwnDqTvNJmn8HPMat4XaerhSKxeR7/rPQRp6uEiNWDhxqpd+EK//qJ1hnnS/Z7/E1ocva5qU9ZZ4r4wXMUSrP1C3OowsGB7lyEownKSnBdwlWTLe15r+IWQp9zy3dlZuVcTXiN8X3ZUlhDs+yTnBVg3dr3oOuEcvVp05gBkWHRwGj/tXrw1iP//j5YobDD8tp1Vt40HXB0QgbWZUSL+ZpVAgKREEcrV8ZgCo+4seZX3v5iMSTteoYKMBkDTioZ0GvQymQx2ft5oLqXQFofeAfgpktg/YlXH4ZD+EzdUAPNAZxOMLRITf/k7TnknYEgxLWzabLM4hM/w/jiwZCd8s+moMiz5LeRNfx3lA+kIU0hxljp9Bfo/FAanJX8DQBLv6n6juEHx1eD3McOHnru7yWT5ghFxGTc2AI5Oous7UpLkbW0RI8hech3Rs3VaH48AKKpKROV2FUtuyafcVbx4aZ8J8M8jnuPUhLfhlkn9y/rDEkwh8tCgxRixewnVwdcX6kGxcDhBR9/FYx+F3w9kIFrGSTJhi47qXbd7L1wmT4ChnJ5V7hsgEhV6yW0jNoA2Z4HT+4k4kC0XfuECvTYzios/sL//ErIThkMkrqQYGMkTHFuvVMJh5EhRrKzMaICymVRd9495AeMP0rMxVcfOXmrqgAjYHyYlVqugYNG4aggcDKcs2kgadXrIPL35OJIZDXBK/kRkSLH+Xu37jqhv9/vMxahU83MrBkZiuyMZOLMaP0Pxhq+5+NMzplCqjsa/sbqiXfymwU6Fsz6UiCwM37C8Vtj2uSEzRGqbHRlrlh5wo9IeAKA7mS6KdxaOnWvJxahd9gb8xg7Ce27/AmAW5mBhB33qjsKm9rKofpZebuELWudKsSHsN2wzEfX8cKjupvCEXLfxcLWpbZdD0ZERY5mTwO5n7U5CVjv6LcX0i7RRZ/SLwvoc8puDQVbklBCGpgnLYtd2hWs58tdmmyk0dz+T1+kpxq9hNenIeLPsF4OjCwBA3lh3TeUYLlMoYtOwOFGOR095y3uKzaWzcm503PTVorPN1/WcanUmkvNbQEfvm+s50btdPeCJT7TXJPg1SPrvgB4trzvcMgO8MjtdZHCoSs4AddUwmlg3GgdP5KpqLAavfk8aAJKiV4SEIMmHYnnjZTtgbVLFXNnwGF5y2yjy1DB5bYAMBKHB4HjlPHSnqA4KX1805lJQv+OYaOQEzxQZ0UK+Wm2dGun/dxAAeaZrl73Bk9RYPKloMWIS4a6+QNoOc5JoSy3KXAfC9wdSWRMuGh0pYeYEz+Rqkn7J70M+nGLdm539UaEMgud6Ska1D/TF06XP4r8DNgAAtvq+igmBJuU5TS2UKVu4cNAg+WkuVtP/wGo0jUrgiYuTkl8WxbMKE1W12VkihTPbpipUuvfHZS0ZPcGyfDj8RPfPm/46wgu+57Gy+3Ld4aySoeQyxTZOGdKE0LazvI9W+76D2SNpV//LhRBREqSwPkwkQchNbBlzLTRWWitrzLzGgk2K3sULLY5mY63Quh+sZG1o1pNn2N661Wzc1VUjZ8hCs7CIaeMh5H422FO5Wkd3XHQYzK+t6T0cn54MR0wkxWhayw1c/a7O1gfn+0/lCybzYjHD1Hr4GJT7EyOIU0slbLRNqFhBRtaFbwr4GGVtmLeDTlV6jQ/H0bf2IWYluSvzpr2Gqhby/I87/yHg5CKKsY1JX4PLzuRNDShLx1lvijMvHxjNT2EAwEbbBPneH/nfwvmh8PeDts8QLtGOhjrog/rCupjGYMUd02CnpRyOEkUoysLH8BOEER4XYK+p4/P/aFU/RHkX0nOtWgKPxDs5z788oBexFdgSP7ZfXhpve/3xQ9A1NkNjUge1eex5CCHc8HeEE4GkhLj3tBKebtaY30QnNKV3JCI5OxhPKOgkwGDrAHkLecP1rt6wrqvo1FBm8wCgF3tDmxNCk5bxe14+fpb3N9De8KrbTYYAE0ViCnyJ9ev5BvY9ZzrdYEqYQs/05oHv4xG7ryBvoTbZgIW4JyDdbDiWFnNBMnVABGqXvcGFoAJ1ebBrrBBtCJmEvU1rA6zrKnjcdHp1P0R5FsBpI20u2HoKkDpj85aNaCih0ybLZHjIZLBT0wa6xdELypQtsHIglUUhRzkAVGzfgaxPyXM9KfllkWCSsaIcyX3+CoA2FsL4emagHfIzKUJe+hx6d8oPsK6rQE7wTPRpoI2xTXUpysJiucgUYhOw+hwxvzw5KKPdxmNlzTxcyCF1zr/PbxYpYQLgAm5B8+/Df7WPoqycJOYTx5rXAqWmAdPeUOCXh+jdp7t8pd1YmLyG2n73M3miNU9Y16oZf4aqtQqOp2kTLXP3wuQ1YfjgXWrr7kRjLMeYJRr9KT7cvrYER1wSMfwXcoRdTHwNF6rd+e+02VmcrYvl+LQV08mKVZBZ/jvJeQHcHLSoaSI2HzcHLcaUbeJra3SEXqTG3Fn9O9ogdLdp4OrFFmVbeu+7UsLsSGmSKYSOKdskUsIUrj2WHPbs79tFCfN2NcCnP96zob3JH4d3f1EP4rbxgF8LrpUzuuFiKU+2udYYx644hH9rsXzX4p1gx8XWJsnq3wOYN+B28dJ0CL1OdJR8tehOybEzWIaC3ZZtIkGCBAkSbhluVwM84bGefV/t+OTmUl7eMh5wBsYT2w6aVhEXqBAdxZdZlqkYGAnFwEgcWLITHol3cn5f4W9ZucVhU1AcNkVcjim+0xId8Rprs7Nw6fNvOW9okvMCEae4NjsLhWFxKAyL479lnLNJzgtQvs18FK4OiCDu7bb2SnfXgu64U4WcyJYcreqACOyLeQn7Yl7iz3ct97TkAr6W33dWb0t+YsPlUn5ce7VgmyjGN91V/Sx5yq+X+9dybHc41gVQ9x7S7jNhHYs++wpFn33Vrj7M+O50PnUCVckZtDm5i9rkWuorqvuv5evV6zj9YWdoSk9v99m11PFq0VF/6/MvQJ9/gf8tHK8ijvEuyrH83nLuWcaWcpgYn5qOHEHTkY5ZiYT84sI6dcjB3EkdhW1prLzSrv41u3bztZStdUnOC9BWXIDiDV+LOKHZdd3dX4KEnsav4Wr/PaPT9UXCLcEt9YD/mng0bW42p4w7sGQnP16/FunhnoJlkiQAkUT3iFOfi/4WXiv0PrLfdZccIvS8CxMThTyuLIGKhd4I62SZLCWMYV10cBoeeDuW14/Vhz3jtlfSeHa3wdEF8sa6djyyQnlvYSy55T3Z8wNXJxstNA5ulqphm4qOFtuO7u+Ue7inoc2lI/VbMZa7Q+r0FRj3DiXk7n8xGUDP9YVw3ADosL07i9W+nkQnCRKuGlfJTnSz+a5vF/RUbLmE2xO3qwd82qM9u9H66bObO3d/kyEoPSl/3R2EsaaAmKdVGJ7ye1uAeiq85rcWpnOrcTUbkRuBrpL7JEiQIEHCHxe3qwEePz+z+4uuATs3DOrR8rrDLaMhNNg7ocktCDX/IDaQzL/sRGLxKqgHkhyAkMKOeWiZkRAwyRtoqIP2EtF51eQUwO2ppwEAuqSvYbjvcTS++08AgNFgQGt9C0Lm3gUAqE8/AYOewjvsHn4MVvpWGA/8DIDoDGtOUyKg59Tx0F68yOurCJTjZOC9iBhOhok6IIJ76lKnr8DIV8dC/QDRXznUlUCurgW0RN9WNvBOnhSjCAmBtrAQit69qWBNK4yevtC5EIOB4tI5qMOItsrSoGdUd1amwKE+bpXok09eSDQ2YGfgs5zOUFVypp3XhgnmqC5lYbfnPMhGkqHXfCCXJ2cweiNHE4tIYVgceueldNKL4nJtm6pgU1POj7nC3GvQ18TawTcoAtERyzJY4lVnQjzFYaQe6ld1GnItJS7Jm9tLGasDInhCTVjyW1AEkIx8w+kzUA3oC6OpXzTlFciZtRIAMKQ2BSVrPoZ/LCU5pkb9A1OrN/AyhdnjRoUtcvzjEainZ7PRNUHZWMUZD9QBETDKrPh3u1tizAqrLl6Q67X82mMBD2JECQnxaLOz0FRagZRRxF4Sf/KvsAofDN0pExWZwcCfhSnosYRDXfpByOQy6BopQVdb3wi5NdWhvrgSrkvf5AmSsrFTYFNAXnZtaRkU/cNJjdUEkRfPaISxivrjiXML8NxcJQZUUiLgHrsZGJf2Iv/dgSU7MTadFC9lacmw8fGGMcAk4S2T4X/u8Ug6ZG0q1ogHJ1AyVV61GxLLPkRuJCWnBWjzoSo5g71edGJz8pwci12pLxgDknDDUPtzKg7eR/SHifXrRUqOxX2mwueHVbDE/+L+hXBkmWkmS1cDjk6icr9XEUvLTPVnOOI3GxFy82LP5xeAJKd5CPegsZtT5d1OxMdyHl8MpXUju8oHcTa/iJiDkpwXINaJ5rCd+gqeTiaK0P/2Ww9dRQWuZFASq8tf3xDR1KlKzqCmt0m46PIg2CkNSKyjJNG61DRkvE/X/fzOCSzv/1U72k42Xm1bqoF9Jpq/8fE4MOpZTEilpE55ixqGkiLUxlC4U5OVM29befREQCbjicwlilAoZVr4bqPfKsdNxH4VJWBv/rYa/55xGvKMAwAAq17BgEwGrQeN7Quq4RhYQMJLehcvyDLTRYl6mqxMKHxId+HcyMdht5QoKI3/+hQeG99A9Tlqz6aqJgR+QMntNbZ+aDbYmZlvjEYUb/yGh241+Q9AsZJU8FhSbPUMSvL3zduH7OBZ6JNM7FmWm1JN5ikoB90BACKhHfY3F+Jp+hKL0qaYhXgqr4j0I1jSK0Cqs7Gq4zgno37ytb3SKRNHkvMCxB1+gScKAqQ0CwCvz9fCpfUyn/uamnrI5HIYTe8qZcoW/DTqPQDAJOdj7cZqZx59Q0lRh0I8neFaTgY2YCFPur+W31lSM6ZEr+qQ/QYQkwmwfrjaPJhrYeXp6tpXzj+A1ybSOuxQU4wdNvfw7xiRg4TfN26ZBzz/kQT4z7mb/30tHuTstz/DwFceFX1mVBBbhcxkmDFYTuAbcUSY/vyH8I7wQu5L9OIa63CCL3iAmB2CSStbSkOzsAMYDO04rhkMdirIW9Roc6LscrmmBTINGVwdUQlaLkBXI0X/azyf7GRCWIbl/xWRd5gepn2Me7sFUG7FrxVKygNECwmAP3939QKACZ/MgdzH/1ofi5fBTl1uN5ngG4GuxoHOndrQproUDWn7zKwyNwgdjVVR/VqaADuHX3WPP2rogITuoQ6IgENNcYeb/av5bXfvtS+tybv4sP76T4U7AwvP+q2fzrZ60QbMtqLgptzP8t37R8ft6gGPm3eqR8tL2XhHj5bXHW6ZB9zzuWdxVDkOqj9PBgCUvbMP4zK/hHYaeTMc6kq4l9Dg6AKj3ApNyd8DAC4frEIfC5pBYRLasMzNODFoNgASariwZCcmbpzPr2dhJI1vbhJR7zQfP4aq7CL+d9D8+0T0YQDgsepxAGaBGgAY8ngs/d6F6qu68D9gYCS/j2ucOeZZ2VqHPvcGi4RiLLm2mQc5eix52Er7EOWVU0sltDb2yNORV3Fk3mcoiiCvUlD6l/jU9VXcH2RKUguIQCyOQ60io7bIui9U1qbE0gAgFxFwNPFtG4xy9NKTZ00TPBKOTRW49A55YV3+Sh4Z5lF2tq7nnpiaXbtx+ak1vN4jTkWg1M4TFUHUF73khXBk/aShjZHaj3g212UNQ/zQOs6d/eSgDDgIZKeFNIR7C0LwcMmnIp71Rk+iI2NUcoVhcQCA3nkpKAqbCicdaYJbt2nQ515avEt2HYbP8P6cvx0Ap1gLbfwfDo78Ez/VyJv+OtQ6OxgM5KlXnXoQSWo7AERpVuo1AS7NxLdskFnBdvdX2NSfvG33BJgTBR1qipHrPYl79NQBEShVhKC80QUA4OWgRp2G+KVdlU0IS34L1sOIyq3ko8/guvRNqDLTAAAt4aNglbqdl23t5oqm4cTuU7vsDTgHecJ5YiwAGuO6Zi0AwHtwMJSebrDpQ9SC2pwzkMVMBQB++sPAaBotlV8BoPaup+BWm4/LrtSHLnauqCv8GnVsnC99k48TS0orJrTDPM5nCwycWot58JioUED1KVS690dGJfVb0TlgSB+Snh9TtomMmkaBMWRrj4zABwAAZQ32mGK7nz6+kg80NqD+GAnd2Hm783kMAD7GUuTpaS4NV9gC2lYUhVG79Mr7mc/DpB1XkJjgjUQ1bZore4/AuZZQjGqhtttpTOC0X3nVrrirYb35tKk0BzC0cV7orZp7cK8LCYGlaCfRRq6G6Pjg5oFm376wL6e5aKyu4NLZ6yK+QM6QhfD64EkAgMfEsTjR/zEMaqU5wekeYV4/4jOIEq6lvBJKN5pn5xPegKN1E/yrSXinwmMAnFrETEdCY00dEAHVuaMAgIb+Y1D31lIELaC2zg1ONHuUdVpAYYsWb5qXehuaK1bfkVHZNutRrM2k06X4oWpEFH7XjmaT9U2AvgAyY5uoLufeo7ESMKovqs+VwK0PbQLtQ4JwfvNuunbtRrS99rToWYQ5MG1WCrgU0VhgOg7b7qITxJcc/ouGMBJHczyaxKkYGc56T4TXh09RXRZ9jgtl5PC5JyCduNJ9icJwUc4jiB7riy/XkGbB8uUD0eA1lJdT12yNWY0mcbSmRiT5/Rn+Sko8TtIsQGINCb1d7Dsdx0r8EBtAY+F4VVinntW6XkPRpHCGqpU0ACoV/ihqIFrOKbI06OAgphldHs/bOiz5Lfw8hjznMd/N4+sHgyYrEz+PJQ85Ex0CzO9ctu7aG9S40BrMaQjzpr8upuYzGpETQvzs4QXfI8l5AUZvIppPj+lx/H6H/OagulHBD0hHu+XAKfkTfGii4wPGISHKrNvBygKASM8yflp7yG8OapoU7RxQfH068yXU/UYBoLXTdemb/P1z1ncK+tQ4c8rcvGo3XkZi/XqkBzwElQ0J6+XXuIpoE/nzmrABC9HHj959ljSEAES6D0LBJrZpYu9+y9OProR4bgQN4e0Ko+GW+I97DL+ZGHAhTyb3RgpeXHoXOvpk4QuXPv8WAFD9+hYMPvkfLsihd/bk1HrMKNBbKQEArkXmycBgybAgTCYUKYQJwj24N81UP33wAK6KqRgYibbiAtGR6u0IYax7d2CT+07rn2FTLWYm6Ul6u5Iw4qN20lTD6VJ75b7OYJkkejX1u5kx/cJwBePmj+A0Lob/XbF9B7xmJVxzmd0JywgVAK9aaKmD0yTh5hdoP26u5URFyOV+tXXoCjeyD2/2KUhnQjxXBaPRvCEwvaBvVt1vVC7J7yFH4Y906vJHetbfI25XD/jUuf/r0fJ+/qI9C9mNxC0zwNWrF6N18v0iwZerRUe0Y9ejGNZji0JjA1IfXMvDSpiXQMgAwv4/8tWxXMAHIDYUSyYUYSKcsH6WPNZCMIEh1p4jTn0OyGRQlVBoy6IDd/JdsvB6gHbQ7LgtLzQB3tpiKHdtBmCOv++IvogZb0JFQOFunDGzCJ+T0zs6OIolmwMjO1TLE+JWsKAIWWaEaqY38v5bFLTYPaS9tk1qT9Wru/CkziTEf62x25ngk7A+7GiY1eWZ2iVYN/anqzJMhbLgv/cQIglXh6tlHDLYO4lCUDobbycCH8SwS1uv/v432DBloXs9ragpLB9AO8XUnsbN1in4I4QZXgtuVwN8ypz2TtNfg182RfVoed3hloWg2PQPh40wZtkzCIqS86g7QBy3VvP/DLtG8mZb11Wg1SsYikwyXMPn9oPvAzO4t+3CNwXc0Ju0tRfg6MS5tb3HDkHF4VNw+AspotX9600EPkLJDsbY6WhrbUDph+sAAEGPzUbdLjpWdhkVBTg6iajRZDFTYZVNyUz6mlqeEGWtpGZknnQlTEaKqU4AeBiE45hoAAf538qULdACqDU9i/+zT/LfsAWNLT7MuKqypWQlj/VL+dGyjY83DtzxCC+3dtkbOLt4B2LPkCG9xvU00vUkG93r7RmknGi6z7sPPgSY8sDC8nfAWF2B7B8ojCLC5HUbvIx4sYXezuqicrgPjKQELNM93136Jqz1dORm4+nBr1XlHAScXJD6wH8AUOJnrOo4YDpNPDZ4rmgDI1zMS8ImIiBvD3+JXD5+lsuhZ4bP6lBchxlohgl3Qadw4OUC5o3RpOSX+RgKfHwOZFfKoC0vp3Lv/Cf6Gc/w5MQcgYJh7Jp7ufcXoGPu1n+vwNFHqCzhwm152mF57L5r9CrcVU9H0qmJKxGzPB6TE0ndq+WbDOjvmkdhDACK129D0Bw6FlUHD4XqQjqq9x4CAFjbKtDn3mB+8lORcwXWtjQuq07U0dgxhW0Ym5sgc6U8grJvdsBjUBhvE49hLhj890Vmas0l0TyZ02H0aPrcdO24w++h5uN10Kipv61feRWVb/8fhHDpTSdPtp5utFkzGTyaKQ+Irit/aQlsnelYv/HNTYhVHcd590QAgJuxAjD179K8BcDY+/j4WAdxnGZJ2ET4ldDYPeQyCyNTl0DXQJs+1WggETQ+jEp7Uf4AM4QM5TQR5L4BWFFFx955ZysxfZo37iqkhN36OyZDbtDz4+yQ5iw02VN7GmRW8Lx4pJ0sPBuP8uiJsFZTqADLgxB5c+trUX2I1hj3hDvNSdR11VBHjIftnm+o3L40fjoyTNiGpWwLhSu16QzwjqIEw12jV+HOIy+INpNMyRcA/CcOE5/OaVoBpa25jfr1h8GFjtDljXWo7UUvLFX9pQ4VQIs++woA4Ln0dbTJSWBKmbIFuV8fQfjscQCA5pLLqC+u5KEtDXv3wtaTjv2ZA0DnRiEeNjU0P6uSKdRAGL7AjM3QmZQc2OtPC7rNEeHjMGULn89B8++jNjTNOxgN2DtxqciIZc+nd/GCdV2FgIrWzAsPUMihMMlWuJlsSNuHfTM28O/C3GsQoM3nf3cnkCUcNyJnRkAEShQUWhWgzUfM8ng+BxTtSrk+sPnC69WN8V284Wv4Pf8nAPQ+T3JeQInPAFcjZte5Ln2Tl8ueyzK/iUEhCPXMeWEH7qzZQP+3UJZkZXd1osvKvXz8LBLni79j4SgDLv7QzkFxtRv7axGC6zbvpYt7+GYf5greHTlkhHbTzXJk3ShIISjXCRaC0pnSpMazF7RKkstWlZyB0UYBmY5iWplRwwdkaFh75hCTp1VbWABrZyfo68n4kNnY8JcXACr3Shn9YWXF2SW02VmQjbsTDV/QhFL18oVh4kwoz1DMpUyphK6XSSI8LxMyDx+oTbK8TJpYXUQvi20Tt+IpZ/KKyDTNomcpC4uFX14afxZj7HQoK81x6FcLtiB2NUmFEz8j8AHUDaaXp7Dt2Qv5ujwNpmQ44X2EBg2rZ2f16w5MurhN3ciNe5mXb5e/0WZnoT6RMv4dv/oQdsOG8YQeRXMtdHa0gZGlJVOCqMkoOtP7bkQUfsfLEXqXtZ5BUFQWw2hiitGGj2jXZ0YbetUl288RLcqWzAeWaEpPh8PIkfzvypDR8LxoEl5pa6MxCgAyORr9+kPx8zZ6loGR7U4IRHNLJkeSExmUwvqwcWNpMDIYykt43/HrTYm0OhcvbhCxOrE5oNi5GTK5jMfGws28GesMlkZWR+jIy9+Z5//Xes2YGFNigne33jCWGG3VUN1tuV0muLr6YJeBDD1h8py+IA/WwWHtrheW1VkiOgCamwDUfUaKThcYWFsJc286ulfVjD9zafXwgu95mJ0uLBI2NeXt2tyS253V1ZLbXQhF/3AUf0Fzj8nUdwZh3/9WqGA7i8e9XnRHNHC7eXOvV7X3WsDaYPIamjO7n8m77rJ+zbi63dr+enG7esAnP3SiR8vbvWVYj5bXHW6ZAd6YnoR0+ykY+uNfAABXHnwNvfNSOEVXSP5OTiemDoyEQ3UR9k6ixJGY5fHA+HgoCslDoS0qQkv8XACAfeMVaOxc4ci8Fya0mejwrHqHcEPOOGgkrOurAB3R0mnPnUVzOb1QXKZORqtnb8j3fA8A3EgxHvylw+dpraxByQJKVumtyYVdVRF0/yNPlibuIagKTvJr1cFDRewn1kNGQGYy/Frcg9BmRcbbd6UjMc/4KY9v3zf2RdiePM0TgObL1puN/rOHsaL1z3jZg5KVoGlF+cA4OLaSQbB4axCen0vlvv+FFkvn69DYRp7hHRnOPCGuIXAwHGuLICsgz2/lyFnwuniYGyPz7nfFIDnFX8u2rUPxwysQ0kR/y41tyHMcCpmM+q1X61nYl1E5+33mYtzlL3jSTlalH9wctDh8hry0Tw4+ycNeFAMjsbJmHk+2eXbxGTz3WgwcFNRGQ+yzoaqjMBetvSvsy8+LXmong+6H3kAJrCMubUH9XkqIsvN2hyIwEIZmMkbkPv7Y70PjxkbehpHH3+bJVytr5iE6Qo++tjRuzrWEYmw5Ud3p3P2xTz4ZI22pT6uU/gjO28XrEKs6jiYlbeQ8qs7ig6IEvOCyAQAJ+5z3HIf3PqfEq8QEbwzzvMjbr23ZYrQupROZkHzzCQoA5IdOQ+CPdIqhCI+gsB1Tgpy20LQ50dDGzkqpQMNFisd3HzUE1emn4DGZPI7qsOEiA2lw9rdwSv6Et702OwvnE8gj6mlVAfcq6kOtgxvK7ULhpSX6z/W5wzDzm2ncm3944gpEKU4BAFRn9uNS1H3wqab7tDp4INMwmPc3AIwfRPPufxftsbD0r3jXkWjeBveTY4BbGc7XkUF+rkiOewZTG3nuWoedUW8jTpEKwJTI2LARucHkLd950hVP96X+VqiroHXyguL0ft7fLFmzrzEb1bb+yKr0AwBMb9mCJ/ZM5HMkv8aVU7mxfmK0fkV94nC51R2+y4jFyXXpm9wDFupWi/e/0OLRB1wAAANlmaJwr0+yh+EvzhsAAEf8ZmOQ7H+wq6V+anILgqrkDJ/vLY5e+PgMvRBesFkDbWEBZKYNWOvk+5GDSPjZUj7LWxsUeGYOJfNay/XIr3FF3OEX6G9nJ7SU0sbqNeVyTBrvzOkLkytGYrqXIGn4+C7I/WgO6Fy8sFd+J6KcaC1NLozEwwWvwTCEvGul7oMRVEabQ3ltBfRegTAoKPnylDIa7soGBB+ksXxyhJmuMiPfHnOCj8Lhf9SHjUOJXlRm8vaflQ/CHeo9vA3sD/6ItGfI88+MbbaGI2IYLrxByc/Gf2+HOyrRsvR5AEBgfDRPUs40DIZGZ4WJlXTKpvUIgKKqhK9rqx4oRLUdbTSDjnwBmac3DvoSIcDY8i95ojBA6zlLKH3JbSO0udnck84+Hz2Q1qrDWVaIjqT/j9Cl4Z8Z4/BmL1rn1AER/HoAmD6sDj5rnwUAlD/xITxkFbDV0VrVVc5LkvMCxCMZO0ECWepmORK9zX2qOnsY2iJyENj4eKNpUCwa7GiMefzwYZc0hLrzZ/G+x//xZ+UwGgGZTLTmCTd2K2vmia8XOg9M6GiDnBM8EwfOucHPk94h/dyr0PdiElbyJEy0S8JkffjX+W341wa6x7R4H1woauNJjou3BmHtnYfR5EJ9bBniBgANdnSyU693Fr0TWRsD5vwZNn/S1MMR6lYrSna0TMKsrNHz9hMmYdZUt+KvE+hEUKlpQIp2Ev8dC+9kzy1qy25wI5Iwb1cDfNKDx3q0vNStI3q0vO5wyz3gXaEzT1FFSDS8Lh7u8rfCgdVbk8sNwclrwq5pN8y8nJZeS212FqxGxwIASj9Yi2Vh69vRFnXmgeuI4ogtIjeS+uhq7mEpwX4t9WFeh1/7LDeKAootjjejra8X5WHj4ZtHBiRrh6v1mG13fBQ7d5GhdbXPxqkjPcnoErJp3GxYzveOnvu34uW8Xtyosf97SFq8XSAlFEr4o+F2NcAn3J/e/UXXgL1fjez+oh7ELTPAK7Op4Ur/Qp4Rv/ffg7W+Bc3rPgAAKJ8ye0wcK/LQ6BWGi4+Rd2DAfaNh7eLMvZWiBMZLWSTq0AXtEhMr2TN1LWJVx2F/8EcAgNzeDtXp5GnwSLxTVDbzIAt3lINXkyHX+OYm5Ne4IsaFfutSfApJTvP4LjRQZzb4VZeyoA6M5PGjgbo8XLIJQ3gGeSChUCDJ/zl+vVDUw7apCq0OHjjaSl6TKZUbOLUTKyfoS/IQFT+8Avk1rpzWKifMTPIfqMsjD8AVisdO8n7abOTUVCEn6jG4v0MTzjtuPNT9o0X0cc+VU9+wl5CxmmL1k0OWcM8AAGht7KHQUVs71JVAVnAOugq6VhP3EFLrR2Cm+jPz9QLKx/CC7/lzF9v0gYt1Her1FC6SX+OKwZ4U2uLaWo5Zr7Ri+9t0KsDiJhdvpbGxLuprGGroFKDkl3Q0vrmJ94cyZYuZyabiI+T0f1DUv7Gq43CoJs/RDsW95j5p+hLQ60SeE/8LezlLS0DeHm7kPz9Xgfe/0PLE1Es2Ybz9AcBL1QpHGwoZ8EYZrD9+Gwfu+ZzfK+HcMshsKHa2elgi91Rr4h4SiTfEn3oNNafOQdWLQklgMKLkCMW02jrb4a2QT7EuZhcAoM3RGVbqWt7mwqRKx9N7YAwM4+UOXj0N/n+mEJ4zi5cj8olpqB9F8ZBLNnljjety/tuz097ECy+dAgDsWtogElTqKHFYFOdZvAolUXTPgPw0FIZOgbuGQsMuWYdySjMmOMK8kcxjz+Z3eMH3qA+6AwDgXHwKbSpX1HxJVJOeE6JRNnQmAMBOp4Zz5QWc9aY+Cz+9AXByEW2a2QbgfKERUf3bEHvxIwBA0eC7YS3Tcfo+u8YKyDVES5bmOAsTKz+HwY7C5yCTUfKeSbTnoM9sjNSQ57fV3l2kF5ASvQpnCwwY+gglBDLaTYDmrENNMeTVpvAcW3skuTwqEuIRssgkOS/gpwSKymIe91n4yo/ob58POy2F5KltPeBTchw7lPcDEIe9oK4autBBXLTJqNOicfBE/r06IILn6TABHgaNjQM8CtKBehpni7Lm4LX55Al0aKuHR84eGOroO7mTCwwNdUAfanv5lRIe+67uHw1VaQ5SE94GQKef7JQSAFwmTxBtLiq274BLX5r7VipHHs9uuZljQjJszrq0mEOvFD9vQ0r0KozwuAAAsNfUQalp4JvTnOCZfDyy9tLnkYPHOqwfkpwX8N8WaQJwxURfOsSzCCcreuGuBqpDU3o6su95DyoFjZ28ajfR+sm8qwDlGdheMceHCz2tjf7hMMrkolMYI4jHr09jBsWgm9pT7+KFsvf/LQoBYWP+2B2PtAvlaisuwE+R/xC1HWBOShUm5yfWr+90o6fNzsKF6SS6N7BgO5KcF8A+huhMhfdMcl4AT0cNRpXSKUGT/wA4lOaiK7A6+Dq18ATY7OBZuFjjIqrzldCx8M4/2O73bFNv6TBj5Ya61YooFStCopFe3a/T+ljSRQr7VIh/7hnIhXgsiQ7YuOqsPbuiIbxedBQ3zyAZ4DcGt7UH3BJsMFqNGgcrdW2Hgi+MFk24qAh5tg2lxSKOV3VABNS2FJ/ql5fWjkaNxTCypEHhABfGN3bkEbE0KIWwpFy73TxUncXm3w64Fi9oTvBMnpDS597gdrGHluPmVkBonFq+BK/W22YZB321cZa/xpt3KzyBf1Tv46+Jm+1KlfO3AMtn76othN91NVb+qONIgoTrwe1qgMfee6RHy0v7ZnSPltcdbqkH/HpfBkySPUFHjA/Iz4G+hjwFt4KGUJudxT3tgFj5EiAvPGP4YDSB7FrrkTGQN9Z1+JK0NDQts6iVv2zjsYfCOFN2n22vpIl2xkLKKOG1lhndQgjrAgDvHBrEYxjRUCfyGipTtmDX6FWY4GT2yjEDt2zGi/D74R1eLuM0tsx27wpn390AAAi5M+qmvTw5f3L2AcDJBcDNoQ4Dbp2x1NUGpyNPNkNP1bcjlgFLak6DPTEnMC+c0BPcVbkSDaEEIa52rl3tnL/dku6EazNw42gIgRu7Xkk0hLcWt6sBPv7urkORrxX7vovu0fK6wy2jIbRrrMDKmnmY+sEYABRWoggMhNHEDiJT2qLNl+ik2o7uB2ITID9GiTkxy+OhaNgIPZNkDw1HSn86vmbJC8KFQZmyBQ0FdJytfHKxiI4uxnyCDvmYSdg3lsIrRr8Ri9TJH/Fjsm2vpGGN63JuuKaph/NjcPb9NtoD4P22PLRNmgUrEx1fzNF4pJhe/HHpa4C0HTz0YVrW39AGQGkyVJlCIQB8c2kkFsjMR8sjTkVAq2lApoFUAYcbtpgX1l698EP1SLhNoqMxv5xDuK/BBQ12dLy5+OA0LHyQQjhGDjyDS8ogaAyUcBaOM9zQVO7aDJshw5FsR895R5gPAvN245yM2nPBpGqARdTo9Vh0cBreWED3OLtkJ8KyX8clUHiNY5gv/ExHs//aYIU1roDmTlIoTWkYhhCbOhwz0pHPSLdqaA+bTwFW1szjSpjv/+iBlQO+hmotJaKo9U1wL6DkCxYzeyyAVNVGlGxFYVgcV0RbdHAaHng71tR+Yp52KwcH5MSS+uKAugMwHErl/VJRK0dkUBMyCymxbcpQX2RWkvre5EkHsOibvvjXXAptkRsNcNy5AYfG02AapjjJkzCzBySKWGVqeg9HjqYf7KwpCdPHtgKHLpF6oJezFm3DI9F8gI5c47K3wNrNFca+1DdP7RyNtVPpCFV//BCeqV3CQ0A0cQ/Bavtn0LdQYuPxFUc4JaXP8P60KWytAwA88/0gc+iInEIjYDDR3QGwV7nyRECj3EqkltkSEo1GGY2jOp0KkY0H8KcfSbzg7ruGwSY6nLe1VZuWJxTbqa/gvNsYVDRTaIa61VqU5CicWw12nigJmYErTWRkV1YrMCOb+kxuaysKMXr3wWLEpbyAjCmUKFblPBwRnhSm8X8b5FjjuhzaOjUAoHXuaH6kn4QFSNpxBe88RAmQDvUlsGqoFimq/lf7KAAg49hlxE7wxWwdndqV9pmAzelBPDFKm52F/MSlAICtex3wZq/NyA6m0LA+yf8QrUcfnYrCfaPouZvb7BDanMkTvXloTaxJeClth9lgkslxJSQa9hrqQ1XOQRzp/zSifnkVgPgU8OikFcgqsMGf7Ci8S5gkyI662YaFhUSxOSHcmDuk/4SKcXPg9uN/+HfKX7bxsZISvQrDPWgxsP90GWw93WCMpURAja0L7NXlaPqOaAjt7n8Yl5wHUX2MNhhw8QcRr7wyZQueqV0CAFj2SB0PkQFovhbtofC+XhMH48CSnYhYQOvy694f4emfKSTqP1N/wD+rn4FzWCD/LVcgtjBAtdlZ0Nap8VE/SnJ7vnIbrIfTu2iHFfWdMISwMjQeTqufBwCcWfgljEYK8djyXRXWuC6H9UizeNZer0eQcpDm4Z8TKlDcZGZqqmpSipL/0tTDeXJ5k9ZKFK7wj18GoL6akjDXuC7vlNlEm52FusQneJspU7agbAa9xxzb6tBk5QxWA2PlFexZsBG2J6k9x5Rt4mXW70lrp4Spzc7ia2Lc4Rf4+q3ctVlUnyrbAGT6DeZKmBem/w0/ZdD8fcltI3eaAbT53YCFXDFYVXKGn7j2P7cTB4pD4GBr4PcEgLU8CTNKlIQZlvwWr98gz1L0yqO1KjdkBkKTlvE6Ljo4DYkJ3ogHKZ8ajqbxOWGja4HOxg62TabQJpkMZ/MM8B1M75TyBjt+v8Grp+H0cz/B16lF9B3rC0vDfbPNQgS601gYmboEz9QuESlhsjWktM8E+F/Y225DcymMlMID83bzz9n611kIikjx8xqTMFOnr8C2V9IA3J45Ur833FYhKO28ryYOZmhaRRnUqdNXIHRmL/R+jCaQNjsLCn9iM0h9+FOMOPU59J8Rx+jJDzIw8tWxsJ1GizQyDqLsYCYAoPpvX2Hgzr/x38LVk8fKtTm5w2CtgM1FMpxyhz4qmtDqgAi0/psWDeewQJHXuy7xCQCA1wmKLdeWl4teBJYbhEs2YQj9keLsZHIZv/ZqvDJsQYTRCKWmAcZUuqdyYCTUvQZzj7tv9mF4gzYh7gXHUBw2BUF5xOhyNuQu9L/4Iy83J3gmr482fraoHu2y22GexCFNp2FbUSD6ztJzIfx7RdU8ztqi9QyCRunE28MyZKe0zwT4FdFxk0zbyu8ZqMvDrFda2yXWXgglQ6DP+R+gu2BiYnkxGbH7l6Mpmcquu3hZJFXteHoPjK20aUoe8AYmOB3vsA84VWBDHT1T+Nh2dWYL3vTmTXhi72S+mFl6dy1jBDUfvYMjDxO1YGL9ei7yBFA4kLGCjEuZgwrqfqO4eFHxRmKJ8I6iDdiVjHOcnUQxMBKr6uZzJhZhHdhivjaU2CoY5aAwRMqSHpA921CvQjhv+CdqLpARW/H6t8jIpw3LEwqz8QeQ0ImQn7im1ZG//DnDhMnwZLG2Hal1Mmls4Yuks8TFhsDBIvYIYax4WPJbUEQMNvNsdwDhS0sdENHOiGNjWRiry3IXOpu72uwsyMYS60ergwccju7gFKkp0asw0fEo7E+lAQByRzzBx5RRYYtc/zsRqKc44I5Eq5gRM+DsT8ioDEaIWx3VKf0/aM4vBAAs83gf0cPsRe2XEzwTfWuIT17epjPTEDY10hizOI1wNLGX5Ix4En3rjvBnAQBVEbV3Ttg96H94DeSmU6OciIexI4M2bi+5bYQmKxNXMmheWkrRC/M/VCVn2vWjMMzkUthkkXFSvOFrOAeRgeMYEgSr3iH8GYXzsyMVVyG68oB2pGRsuc6xDdjAgu0dltER1AERfJPMuMPZPMyvce0Rj2xHoY7X5V2uqwZc3EXlXrdS602EcIPN0F14V1ex0T2F2yG5/LcYAz5uVvuY/l+D/dvH9mh53eGWecAZBRPzgP/87CG8hI0igQWDowsAQH/6JDRxD8H+cBIAiuUNeOZxgL0oxscjRzXM9N0eqErOoLiMxC6GvzwajmOiUbyavDg+w/vDrQ95MgMqd0F2RxRyAihhrn9lGvTpB+iezS1QTJmO1IdpozAp2R3NU+7F5X8tAwC4vh6JzI9pwvhmr0N4wffYO4GEOmJLvkKjVxhgTc2riXsI9vVkpMhGxgCNdaLJFhgAtJkMP+tp97abiEJjEzIZ0luHAgAmB66GQUN85zbHUvFfn2V4zIao6wwqV1yyCeNe38VfaBE9lhbd+TgGGcz7rv4XfxQdVYZ5BuGy6eXYeFcYwmH2wt8fVs494C0nTkA/cz7qNWR02bTUISd4JpRyOsVgHnYA6OtSAcOhVMDkaf9Y/ygSR1Rj5QnybDwZkMENnHALD/iHO7zwNrZxb4C6zZEvFIsOTsPuZ34SGYw5wTMRnk/f54TdA8cv5gCgcVP6wVr+wg8aF4O2BjIqm518YdTpUDz+caqwKX+QUZG52TbyRJzp4+yhdfKA3pfETWybqhDww0fYPGkDAGC27lNMtqNxZDA4ELWdaV9SY+uHb4wjMSKExqebRotZr5h5m3+a4G82yOuJYjMmfQ319xsKbH/b3E+Obl58E3DhmwJEPT9cZNRc2kcbzd4qR9y7JwGGp2kRVZWcQUUIHbVlhc/Ee6+Ph1FDRkvxhq/hu/h5DCgjT1JO8EyEJb8FANAC0E++BxEO1GZaoxKO0aOhcKHx6miVj6g62sjljHyKNmSm5xImrgGUzOsaRX12NsOAOJCIDUBhPyU2IXBrpXF0dNIKWMnJUB4UEIFYHIf2KBn2q71XYI3rizjkR0l6Y8o24UQgea6GHn8XxbsOc4NM/sgzPAHXZuhIlAaN5ImUbM6xdvG6eBiXrpCXE7bAjsqRuBs0PpkHPCGYPHGT7Q7gnOEOAMB640IsKPmUj8ew5LdEhsnamnmY406JvfUGZwSMns7pNxPr16NVGYzcEbSBd7Gq4+3V6BUGZ+t6QEfzlnndmXCLquQMgnKJbvFEhSeq6+VIrCfjz6DTwWE0xTbODdagVmMNtcqcQBzYkgejNc3VJpU3VKZ1VVtcBGXvcJ5knTPsCYSf+C9PpL5Y4wJHT/Jqu6z7K+y83aE1baIC9floCx8G42ky0AN1eUiIIq/cRXk8QlpbEBQ5iD+L1ahx3EFwKWwyXFpNAkaeQXDK3ocLG8lzGTZ7Ku9PAPD+4T2c/pruEfLJB/AZbg4VMVabhYH61oqPqpnx3RHNm7G6AiHBdVA7mYxUoxENdp7w/P4Dfs3nRppLI0OqaX4IHCrrjQuxaTExGW1cPQGFTX78u5omhdmQbm1BkvfTcFSSB7xRbfaAV/bpgw93eOEfnqb2Uzlx0TJAsGk1oXLms/C/sJf6KXgmjRUThPVm+UjC9VJISWqZ8yP0gIs2ACbjmxm0htB4lLe4YXQ6nURlj30OF2tcRL8r7TMBAOB/YS/WGxdizllTIrVpcw6Q8yX9ojs8XGi+M4o/1k/TohpE7y6WcAyIE4g7chSpAyK44S18Vtelb0IN8xqgd/HCOdcxvP6oAWBqL8c35uD0cz8hzJ3W77xqN7g5aEXOBGE7rTcuRF9/Wt/HlG0S0RAK63fJht6zwrqqSs6I2kyIrpIwe4qG8LcQhiMJ8VwnWn9aJ/JqqwMi4HB0B5pG0QK+NjOKc3iqSs6gKGwqgo58AQBoHDKJPMkmz7XmUimUpsXcMi659d8r0FLbxD2dwtjspmnz4Xr6Z6gjxgOgsBh2ZKrqFwLDwGE8JGXEqc9hkFvDbifVweaOKFR+RS84l75BojhvAFDln4D+Er1oa6fOh3MSeRgV4RHQ5pxp5+Wu/okMHufZD4vYI4RgXgahVyRetgMAINe04JRnPO44QnHW+rp65E1/XZS9nRdKbeutoXoJ42FZme7yKrj++BHq84jrWbd4Bfzy0kRKYMI+U5WcQZuK7pE2/lWitGNelpAQaC8Sf7N6+kK4FxwzGyKZUXjJbWOHi2dnECa9Wr4ULL2VIkVMU5iFZsoDUKZs4aqPMcvj+f+jT6zD4WGLMCGVjM0dins5ty0AjHQ/Z6a+tLZBksPDPDwpZnk8rBwc0Dz2LgAQ3SN23//hnMd4vrjxjY6GvJ6KymLeXh/6vYs75oZjwh7a5FVt2gKXvkF8rAhZZZQpW6AIDORc+U1nz8MuwBdyB+J2rzuRCZfJtHhzdTmTd9Lg4ARZKe0IdJeviER8JiW/jFavYLRuJg+2va+HWTl08yKURs2Cvemou1weiPe/0PL+WeO6HJfuojCCwgGxGHdkNVrtaGyocg6i8o546OSkFvtzXig/gmbhXMwD6mJVh4xKs4fxbIGBrwX2B3+EVe8QUbK08Mi1fGA0Juymud5m7wTjgZ/N3P6jolB2B/WRqrUKqktZSHKhMBNLTmBVyRm8WzsfAHAuuwJuXioRYwFgHnMRnuVoaaOtxvtfaLs8utVmZ6FyJrE5+V/Yy0WdWHmJRe/w9UhVmsM99EalPXL9pnJDkqkJMgjZktrFuet10J4jRpy/2SzDP3RL+ZgqUYRydT9ALMTDTmfYuCnrNwl+eWnt5hqDquQMysJiAVBCO2Ces8G5e/HtcQpreq5vKg6MelaUBwODgTPSAGbmKKWmAXJdq3hNrKniirUHluzkR+aJCd6IO/wCV7QUiviwDaAwbENbp4bxAWL4sZRrT3JegGg36m/3gmMi76DwmRdvDRIxAaVErxKtG5brWm7IDPMaKlAZZeVa5v9cbYy15ekxuz9DzLd0Eprx/vFOSQMYt7cQlkY56/vBq6chaP59IhGlvOmv8826YmAknz+LXTegeMPXOP0czQvWBzp3coTZVJeK7mm5uWBqqAyWSpgMlka30IBkrFT/mU7CLS2OXu3UTC299+ydVxY+pt3GRDj3hCd0h/zmiMJ6ujJihSd3nTGxdAR2atnVOtNTJAqsrZ1eeP9XlXOjEDPjQI+Wd+CHmO4v6kHcOg94r8FYmxmFuzbSouv37kqcjXkOA9KJ6mtxUAGaYH4Ju7WWoTaDBoObpzcg8CpdGiI4/lfRMScztJu0etjYKfiCFIctXKDEoygD6ojxosHeWkvxosqhEyA36PjnlomLulMZyPqUFmjf7I8RAyBPQC2oDh0GlWlxPVrdH7Gm38obK6CJMy8aOcEz8eziM9jaiyjiDIdSoTZdm3RlJGbrPuW7YG8XL5R6DkR+hcmoLvsQcHAEAGgyT8F2xiQ0jaSFxrEiD88uPoPPHMkjMbnxVWx/W6zWyF4walUEgrTnAQBGmVy8kOalQR0QAVdZjfmHJqNPmbIFOQIjPzR7PCpkFWgwGfrbj3vgyTgynFyqLsBYeQWtJgn5ASFyTF4WhrjZJvENROElN/OC+N7FeG50pdaPQD/Pai7zrAEQKzvB664qOYNIT5Oaab044VTomWJjQqicN4nFhKZux6Tkl5HjQ2IIoahFWs1wrP4nTfAP3o1AuiAkYtooR1hte5rq03sgmr/bhFzQvUYMjMSIU9SH50xjQviCLLTuB42MqAX31kzgbbQIJ1B7bzD0xykcoLWejG3h+DQru0WKkwqd10OTlQldIR1d61u1OLaYPOd3PDoel5e9gWPfkNE9MWUpnsidDwD4KOjf0Ln68M2jNmULdAER+HjoBgDAS4oPRe1Vr3eGfxF5Y6wDNFgb/BM05WQcKQYOQ2g+vRRCk1+GobkBMBngkMthq1XD8yx5oEZEPsJzBQCgrUWDZxfTc25/2xZh7s7cuxsaFQaYpqJV7xA0+ofzI+Mk5wWIxXHYyinO0vbkaTRZkecfRiMQ9xBcWPu1NKHBQGFOdTYu8ApxQB8ZxfFrD2fhmdol3JOU5LwAiwJMYhu9qY3Z+FHHPYRZr7Ri4+pCAORhZGvDurFnRN4ph5pi6I8f4vHF3w19HwktZuosua6VU/XFZb8ALQCVi3nzyGLbo355FV5+kbAuNFGyqVwAgNNxLtoxjRuCdrFR2HtUgymjaf3UKRyA3hSnP7bRHk3O82HdRu313uc6rJ3sYDYYXcA94LGq41CmbIFuHFGy2uqbYFTaY3rrNt5GoTYmT1vuFsDWDq6NVB91YCTWnh6KB+6ljZJn0wXcN4LmuqzWiJiVCZAryOsuryxFm1cAD69h4XQAoFE6oXblu7y/DaXFaMjN55vLmOUAlsQCAEY8+DnK03MhtybHjtABEas7jvB68zwqT89Fr0fvR4aMKB8nbX0ShkZa+43VFQgNruWbXXVABAJ1eTCUmjjyAyLwbQnlrrz7YDqQAi6QFKs6jm9LRnLxldjBMhzyoxM4V2UTGrW2os3jooPTcPEUrb3PvTYccZ7mOO5XbJbhbWzjYwEWMeBsbfppwnaUCAz70j4T+PqosbaHR+FxGAZQ6Nek5AkUPmk6bRKG9qQmrmxnsPlmH0aSwInDNzCmU8TSGZRDE5y3CzWtjvx3Z3rfjb7OJmPe5Iy3pOeL228ysi2M6ElBTdzBorLVI7bkC6w3nTjcG5gOW5PhDgCoLuXG8HPZLwBuVNZer0eQWGG+37qxP2FlzTy+kTs29kX+rC2OXoCjl9k5F3kHsnvdhYvVLvT3gVwkwfwMFSHRCDXSuM+vccWF6X8ze8ubRM3XbpO6t2E4Qt3rqE4whycxDzhb69mGryMPOF0TJKJIZuvNst3hSJyggG/2TLr4Vwrx3O5MQUZD5yGEvwXcMg+4BAkSJEiQIEGCBAl/RMhvdQUkSJAgQYIECRIkSPgjQTLAJUiQIEGCBAkSJEi4iZAMcAkSJEiQIEGCBAkSbiIkA1yCBAkSJEiQIEGChJsIyQCXIEGCBAkSJEiQIOEmQjLAJUiQIOEGQiaT4fvvv7/V1ZAgQYIECbcRJANcggQJfyjMnz8fMpkMTz75ZLvvnn76achkMsyfP7/H7ldeXo74+PgeK0+CBAkSJPz2IRngEiRI+MMhMDAQW7duRUtLC/+stbUVW7ZsQVBQUI/ey8fHB0qlskfLlCBBggQJv21IBrgECRL+cBg6dCiCgoLw3Xff8c++++47BAYGYsiQIfwzjUaDZ599Fl5eXrC1tcXYsWNx/DgpZBoMBgQEBGDt2rWisk+ePAmZTIaLFy8CaB+CUlpaigceeACurq5wd3fHjBkzUFhYyL9PS0vDiBEj4ODgABcXF4wZMwZFRWIVWwkSJEiQ8NuGZIBLkCDhD4kFCxZg/XqzNPNnn32GRx99VHTNyy+/jG+//RYbN27EyZMnERYWhri4ONTU1EAul+PBBx/Epk2bRL/ZvHkzRo8ejZCQkHb3bG5uxoQJE+Do6Ij9+/fj4MGDcHR0xJ133gmtVgu9Xo+ZM2di/PjxyMzMxJEjR7Bo0SLIZLIb0wgSJEiQIOGWQDLAJUiQ8IfE3LlzcfDgQRQWFqKoqAiHDh3Cww8/zL9vamrCRx99hJUrVyI+Ph7h4eH4+OOPYWdnh08//RQAMGfOHBw6dIh7qA0GA7Zu3SoqR4itW7dCLpfjk08+QWRkJAYMGID169ejuLgYaWlpaGhoQH19PaZPn47Q0FAMGDAA8+bN6/GwGAkSJEiQcGshGeASJEj4Q8LDwwMJCQnYuHEj1q9fj4SEBHh4ePDv8/PzodPpMGbMGP6ZjY0NRowYgdzcXADAkCFD0L9/f2zZsgUAsG/fPlRUVOD+++/v8J4ZGRnIy8uDSqWCo6MjHB0d4ebmhtbWVuTn58PNzQ3z589HXFwcEhMTsXr1apSXl9/AVpAgQYIECbcCkgEuQYKEPyweffRRbNiwARs3bmwXfmI0GgGgXfiH0WgUfTZnzhxs3rwZAIWfxMXFiQx5IQwGA6KionDq1CnRv/Pnz2P27NkAgPXr1+PIkSOIjo7Gtm3b0LdvXxw9erTHnlmCBAkSJNx6SAa4BAkS/rBgsddarRZxcXGi78LCwqBQKHDw4EH+mU6nw4kTJzBgwAD+2ezZs5GVlYWMjAx88803mDNnTqf3Gzp0KC5cuAAvLy+EhYWJ/jk7O/PrhgwZgldffRWHDx9GREQEN/AlSJAgQcLvA5IBLkGChD8srKyskJubi9zcXFhZWYm+c3BwwFNPPYWXXnoJu3btQk5ODh5//HE0Nzdj4cKF/Lrg4GBER0dj4cKF0Ov1mDFjRqf3mzNnDjw8PDBjxgwcOHAABQUF2LdvH5577jmUlJSgoKAAr776Ko4cOYKioiL8/PPPOH/+vMjglyBBggQJv31Y3+oKSJAgQcKthJOTU6ffvf322zAYDJg7dy7UajWGDRuGlJQUuLq6iq6bM2cO/vSnP+GRRx6BnZ1dp+XZ29tj//79WLJkCe6++26o1Wr4+/tj0qRJcHJyQktLC86ePYuNGzeiuroavr6+eOaZZ/DEE0/02PNKkCBBgoRbD5mRBTpKkCBBggQJEiRIkCDhhkMKQZEgQYIECRIkSJAg4SZCMsAlSJAgQYIECRIkSLiJkAxwCRIkSJAgQYIECRJuIiQDXIIECRIkSJAgQYKEmwjJAJcgQYIECRIkSJAg4SZCMsAlSJAgQYIECRIkSLiJkAxwCRIkSJAgQYIECRJuIiQDXIIECRIkSJAgQYKEmwjJAJcgQYIECRIkSJAg4SZCMsAlSJAgQYIECRIkSLiJkAxwCRIkSJAgQYIECRJuIiQDXIIECRIkSJAgQYKEm4j/ByCjQRmp0M8AAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set up the plot\n",
    "plt.figure(figsize=(10, 5))\n",
    "\n",
    "# Create the heatmap\n",
    "sns.heatmap(user_movie_rate_array, cmap='coolwarm', xticklabels=False, yticklabels=False)\n",
    "\n",
    "# Set title and labels\n",
    "plt.xlabel('Movies')\n",
    "plt.ylabel('Users')\n",
    "\n",
    "# Show the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Movie number: 9742\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>movieId</th>\n",
       "      <th>title</th>\n",
       "      <th>genres</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "      <td>Adventure|Animation|Children|Comedy|Fantasy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Jumanji (1995)</td>\n",
       "      <td>Adventure|Children|Fantasy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Grumpier Old Men (1995)</td>\n",
       "      <td>Comedy|Romance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Waiting to Exhale (1995)</td>\n",
       "      <td>Comedy|Drama|Romance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Father of the Bride Part II (1995)</td>\n",
       "      <td>Comedy</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   movieId                               title  \\\n",
       "0        1                    Toy Story (1995)   \n",
       "1        2                      Jumanji (1995)   \n",
       "2        3             Grumpier Old Men (1995)   \n",
       "3        4            Waiting to Exhale (1995)   \n",
       "4        5  Father of the Bride Part II (1995)   \n",
       "\n",
       "                                        genres  \n",
       "0  Adventure|Animation|Children|Comedy|Fantasy  \n",
       "1                   Adventure|Children|Fantasy  \n",
       "2                               Comedy|Romance  \n",
       "3                         Comedy|Drama|Romance  \n",
       "4                                       Comedy  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "movies = pd.read_csv('./Data/movies.csv')\n",
    "print(f'Movie number: {len(movies)}')\n",
    "movies.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Movie genres: ['(no genres listed)' 'Action' 'Adventure' 'Animation' 'Children' 'Comedy'\n",
      " 'Crime' 'Documentary' 'Drama' 'Fantasy' 'Film-Noir' 'Horror' 'IMAX'\n",
      " 'Musical' 'Mystery' 'Romance' 'Sci-Fi' 'Thriller' 'War' 'Western']\n"
     ]
    }
   ],
   "source": [
    "# Statistic genres\n",
    "genres_list = []\n",
    "for genres in movies['genres']:\n",
    "    genres_list.extend(genres.split('|'))\n",
    "genres_list = np.sort(np.unique(genres_list))\n",
    "print(f'Movie genres: {genres_list}')\n",
    "\n",
    "label_size = 18 # Label size\n",
    "ticklabel_size = 14 # Tick label size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "610 have provided 100836 rate records\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userId</th>\n",
       "      <th>movieId</th>\n",
       "      <th>rating</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4.0</td>\n",
       "      <td>964982703</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>4.0</td>\n",
       "      <td>964981247</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>4.0</td>\n",
       "      <td>964982224</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>47</td>\n",
       "      <td>5.0</td>\n",
       "      <td>964983815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>50</td>\n",
       "      <td>5.0</td>\n",
       "      <td>964982931</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   userId  movieId  rating  timestamp\n",
       "0       1        1     4.0  964982703\n",
       "1       1        3     4.0  964981247\n",
       "2       1        6     4.0  964982224\n",
       "3       1       47     5.0  964983815\n",
       "4       1       50     5.0  964982931"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings = pd.read_csv('./Data/ratings.csv')\n",
    "user_list = np.sort(np.unique(ratings['userId']))\n",
    "print(f'{len(user_list)} have provided {len(ratings)} rate records')\n",
    "ratings.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "# 创建一个数组以保存所有类型的评分\n",
    "user_genres_rate = np.zeros((len(user_list), len(genres_list)))\n",
    "\n",
    "# 创建一个数组以保存所有类型的电影评分计数\n",
    "user_genres_rate_counts = np.zeros((len(user_list), len(genres_list)))\n",
    "\n",
    "for i in range(len(ratings)):\n",
    "    # 用户ID从1开始，通过减去1转换为user_idx\n",
    "    user_idx = int(ratings.iloc[i]['userId'] - 1)\n",
    "    \n",
    "    # 获取评分\n",
    "    rate = ratings.iloc[i]['rating']\n",
    "\n",
    "    # 获取目标电影ID\n",
    "    movie_id = ratings.iloc[i]['movieId']\n",
    "\n",
    "    # 拆分电影类型字符串\n",
    "    genres_type = movies[movies['movieId'] == movie_id]['genres'].values[0]\n",
    "    genres_type = genres_type.split('|')\n",
    "\n",
    "    # 统计电影类型的评分\n",
    "    for genres in genres_type:\n",
    "        # 获取类型的索引\n",
    "        genres_idx = np.where(genres_list == genres)[0][0]\n",
    "\n",
    "        # 累加评分\n",
    "        user_genres_rate[user_idx, genres_idx] += rate\n",
    "        \n",
    "        # 统计该类型的电影数量\n",
    "        user_genres_rate_counts[user_idx, genres_idx] += 1\n",
    "\n",
    "# 计算所有用户的类型评分，避免除以零\n",
    "user_genres_rate = np.where(user_genres_rate_counts > 0, \n",
    "                             user_genres_rate / (user_genres_rate_counts + 1e-10),  # 添加一个小数以避免除以零\n",
    "                             0)  # 将没有评分的类型设置为0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of users who watched both Action and Animation: 526\n",
      "Shape of x: (526, 2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "genres_1 = 'Action' # Define first genres\n",
    "genres_2 = 'Animation' # Define second genres\n",
    "\n",
    "idx_g1 = np.where(genres_list == genres_1)[0][0] # Get genres 1 index in the genres_list\n",
    "idx_g2 = np.where(genres_list == genres_2)[0][0] # Get genres 2 index in the genres_list\n",
    "\n",
    "# Get list of user who have watched movies including both genres_1 and genres_2\n",
    "# Idea: People who have watched related movies are more credible in determining whether they like them or not.\n",
    "idx_both = np.where(np.logical_and(user_genres_rate[:,idx_g1] > 0, user_genres_rate[:,idx_g2] > 0))[0]\n",
    "print(f'Number of users who watched both {genres_1} and {genres_2}: {len(idx_both)}')\n",
    "\n",
    "# Filter rating information of users who have watched both genres_1 and genres_2\n",
    "x = user_genres_rate[idx_both][:, [idx_g1, idx_g2]]\n",
    "print(f'Shape of x: {x.shape}')\n",
    "\n",
    "# Drawing rates distribution by scatter figure\n",
    "fig, ax = plt.subplots(figsize=(6,6))\n",
    "\n",
    "ax.scatter(x[:,0], x[:,1], marker=\"o\", c='white', s=10**2, edgecolor=\"k\")\n",
    "\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size) # Set tick label size\n",
    "ax.set_xlabel(f'Average rate of {genres_1}', fontsize=label_size)\n",
    "ax.set_ylabel(f'Average rate of {genres_2}', fontsize=label_size)\n",
    "ax.set_xlim([-0.1, 5.1])\n",
    "ax.set_ylim([-0.1, 5.1])\n",
    "ax.tick_params(axis='both', which='major', labelsize=ticklabel_size) # Set tick label size\n",
    "# plt.savefig(f'rate_of_interested_movies.png', dpi=300) # Make figure clearer\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The shape of x_exp is (526, 1, 2)\n",
      "The shape of x_diff (526, 526, 2)\n",
      "The shape of distance_map (526, 526)\n"
     ]
    }
   ],
   "source": [
    "# Convert x to 3-D by adding a new axis\n",
    "x_exp = x[:, np.newaxis]\n",
    "print('The shape of x_exp is', x_exp.shape)\n",
    "\n",
    "# Compute diff vector matrix by numpy's broadcast machanism\n",
    "x_diff = x[:, np.newaxis] - x\n",
    "print('The shape of x_diff', x_diff.shape)\n",
    "\n",
    "# Sum difference to compute Manhattan distance\n",
    "distance_map = np.abs(x_diff).sum(axis=2)\n",
    "print('The shape of distance_map', distance_map.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "   "
   ]
  }
 ],
 "metadata": {
  "colab": {
   "authorship_tag": "ABX9TyO+9EvQyLwzW6sRWnzqnjPu",
   "collapsed_sections": [
    "c-Xj4WtjPdwD"
   ],
   "include_colab_link": true,
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
